Esempio: identità trigonometriche

Funzioni > Trigonometriche, logaritmiche ed esponenziali > Esempio: identità trigonometriche

Esempio: identità trigonometriche

Identità di base

Fare clic per copiare questa espressione

<region id="ID0EUQKIB" top="153.60000000000002" left="19.200000000000003" height="47.2" width="117.60333333333335" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="48" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <div xml:lang="it" />
        <apply xml:lang="it">
          <id xml:space="preserve" xml:lang="it">sin</id>
          <id xml:space="preserve" xml:lang="it">x</id>
        </apply>
        <apply xml:lang="it">
          <id xml:space="preserve" xml:lang="it">cos</id>
          <id xml:space="preserve" xml:lang="it">x</id>
        </apply>
      </apply>
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">tan</id>
        <id xml:space="preserve" xml:lang="it">x</id>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0EGRKIB" top="211.20000000000005" left="19.200000000000003" height="34" width="150.05666666666664" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="50" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <plus xml:lang="it" />
        <apply xml:lang="it">
          <pow xml:lang="it" />
          <apply xml:lang="it">
            <id xml:space="preserve" xml:lang="it">sin</id>
            <id xml:space="preserve" xml:lang="it">x</id>
          </apply>
          <real xml:lang="it">2</real>
        </apply>
        <apply xml:lang="it">
          <pow xml:lang="it" />
          <apply xml:lang="it">
            <id xml:space="preserve" xml:lang="it">cos</id>
            <id xml:space="preserve" xml:lang="it">x</id>
          </apply>
          <real xml:lang="it">2</real>
        </apply>
      </apply>
      <real xml:lang="it">1</real>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

Fare clic per copiare questa espressione

Fare clic per copiare questa espressione

Identità complesse

Fare clic per copiare questa espressione

<region id="ID0EZTKIB" top="441.60000000000008" left="19.200000000000003" height="49.352000000000004" width="137.53000000000003" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="58" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">sin</id>
        <id xml:space="preserve" xml:lang="it">z</id>
      </apply>
      <apply xml:lang="it">
        <div xml:lang="it" />
        <apply xml:lang="it">
          <minus xml:lang="it" />
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">e</id>
            <apply xml:lang="it">
              <mult xml:lang="it" />
              <id xml:space="preserve" xml:lang="it">i</id>
              <id xml:space="preserve" xml:lang="it">z</id>
            </apply>
          </apply>
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">e</id>
            <apply xml:lang="it">
              <mult xml:lang="it" />
              <apply xml:lang="it">
                <neg xml:lang="it" />
                <id xml:space="preserve" xml:lang="it">i</id>
              </apply>
              <id xml:space="preserve" xml:lang="it">z</id>
            </apply>
          </apply>
        </apply>
        <apply xml:lang="it">
          <mult xml:lang="it" />
          <real xml:lang="it">2</real>
          <id xml:space="preserve" xml:lang="it">i</id>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0ELUKIB" top="480.00000000000006" left="19.200000000000003" height="49.352000000000004" width="137.83666666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="60" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">cos</id>
        <id xml:space="preserve" xml:lang="it">z</id>
      </apply>
      <apply xml:lang="it">
        <div xml:lang="it" />
        <apply xml:lang="it">
          <plus xml:lang="it" />
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">e</id>
            <apply xml:lang="it">
              <mult xml:lang="it" />
              <id xml:space="preserve" xml:lang="it">i</id>
              <id xml:space="preserve" xml:lang="it">z</id>
            </apply>
          </apply>
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">e</id>
            <apply xml:lang="it">
              <mult xml:lang="it" />
              <apply xml:lang="it">
                <neg xml:lang="it" />
                <id xml:space="preserve" xml:lang="it">i</id>
              </apply>
              <id xml:space="preserve" xml:lang="it">z</id>
            </apply>
          </apply>
        </apply>
        <real xml:lang="it">2</real>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0E4UKIB" top="537.60000000000014" left="19.200000000000003" height="27.752000000000002" width="158.92000000000002" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="62" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <pow xml:lang="it" />
        <id xml:space="preserve" xml:lang="it">e</id>
        <apply xml:lang="it">
          <mult xml:lang="it" />
          <id xml:space="preserve" xml:lang="it">i</id>
          <id xml:space="preserve" xml:lang="it">z</id>
        </apply>
      </apply>
      <apply xml:lang="it">
        <plus xml:lang="it" />
        <apply xml:lang="it">
          <id xml:space="preserve" xml:lang="it">cos</id>
          <id xml:space="preserve" xml:lang="it">z</id>
        </apply>
        <apply xml:lang="it">
          <mult xml:lang="it" />
          <id xml:space="preserve" xml:lang="it">i</id>
          <apply xml:lang="it">
            <id xml:space="preserve" xml:lang="it">sin</id>
            <id xml:space="preserve" xml:lang="it">z</id>
          </apply>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0EPVKIB" top="576.00000000000011" left="19.200000000000003" height="27.752000000000002" width="215.66666666666669" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="64" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <pow xml:lang="it" />
        <id xml:space="preserve" xml:lang="it">e</id>
        <apply xml:lang="it">
          <plus xml:lang="it" />
          <id xml:space="preserve" xml:lang="it">x</id>
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">i</id>
            <id xml:space="preserve" xml:lang="it">y</id>
          </apply>
        </apply>
      </apply>
      <apply xml:lang="it">
        <mult xml:lang="it" />
        <apply xml:lang="it">
          <pow xml:lang="it" />
          <id xml:space="preserve" xml:lang="it">e</id>
          <id xml:space="preserve" xml:lang="it">x</id>
        </apply>
        <parens xml:lang="it">
          <apply xml:lang="it">
            <plus xml:lang="it" />
            <apply xml:lang="it">
              <id xml:space="preserve" xml:lang="it">cos</id>
              <id xml:space="preserve" xml:lang="it">y</id>
            </apply>
            <apply xml:lang="it">
              <mult xml:lang="it" />
              <id xml:space="preserve" xml:lang="it">i</id>
              <apply xml:lang="it">
                <id xml:space="preserve" xml:lang="it">sin</id>
                <id xml:space="preserve" xml:lang="it">y</id>
              </apply>
            </apply>
          </apply>
        </parens>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0EBWKIB" top="633.60000000000014" left="19.200000000000003" height="47.2" width="279.2166666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="66" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">ln</id>
        <apply xml:lang="it">
          <plus xml:lang="it" />
          <id xml:space="preserve" xml:lang="it">x</id>
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">i</id>
            <id xml:space="preserve" xml:lang="it">y</id>
          </apply>
        </apply>
      </apply>
      <apply xml:lang="it">
        <plus xml:lang="it" />
        <apply xml:lang="it">
          <scale xml:lang="it" />
          <apply xml:lang="it">
            <div xml:lang="it" />
            <real xml:lang="it">1</real>
            <real xml:lang="it">2</real>
          </apply>
          <apply xml:lang="it">
            <id xml:space="preserve" xml:lang="it">ln</id>
            <apply xml:lang="it">
              <plus xml:lang="it" />
              <apply xml:lang="it">
                <pow xml:lang="it" />
                <id xml:space="preserve" xml:lang="it">x</id>
                <real xml:lang="it">2</real>
              </apply>
              <apply xml:lang="it">
                <pow xml:lang="it" />
                <id xml:space="preserve" xml:lang="it">y</id>
                <real xml:lang="it">2</real>
              </apply>
            </apply>
          </apply>
        </apply>
        <apply xml:lang="it">
          <mult xml:lang="it" />
          <id xml:space="preserve" xml:lang="it">i</id>
          <apply xml:lang="it">
            <id xml:space="preserve" xml:lang="it">atan</id>
            <apply xml:lang="it">
              <div xml:lang="it" />
              <id xml:space="preserve" xml:lang="it">y</id>
              <id xml:space="preserve" xml:lang="it">x</id>
            </apply>
          </apply>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

La funzione ln0 è simile a ln, ma è definita per zero.

Fare clic per copiare questa espressione

Fare clic per copiare questa espressione

Funzioni iperboliche ed esponenziali

Fare clic per copiare questa espressione

<region id="ID0EJZKIB" top="844.80000000000018" left="38.400000000000006" height="49.352000000000004" width="131.08333333333334" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="72" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">sinh</id>
        <id xml:space="preserve" xml:lang="it">x</id>
      </apply>
      <apply xml:lang="it">
        <div xml:lang="it" />
        <apply xml:lang="it">
          <minus xml:lang="it" />
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">e</id>
            <id xml:space="preserve" xml:lang="it">x</id>
          </apply>
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">e</id>
            <apply xml:lang="it">
              <neg xml:lang="it" />
              <id xml:space="preserve" xml:lang="it">x</id>
            </apply>
          </apply>
        </apply>
        <real xml:lang="it">2</real>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0E2ZKIB" top="883.20000000000016" left="38.400000000000006" height="49.352000000000004" width="131.39000000000002" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="74" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">cosh</id>
        <id xml:space="preserve" xml:lang="it">x</id>
      </apply>
      <apply xml:lang="it">
        <div xml:lang="it" />
        <apply xml:lang="it">
          <plus xml:lang="it" />
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">e</id>
            <id xml:space="preserve" xml:lang="it">x</id>
          </apply>
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">e</id>
            <apply xml:lang="it">
              <neg xml:lang="it" />
              <id xml:space="preserve" xml:lang="it">x</id>
            </apply>
          </apply>
        </apply>
        <real xml:lang="it">2</real>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0EN1KIB" top="940.80000000000018" left="38.400000000000006" height="51.504000000000005" width="133.66666666666666" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="76" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">tanh</id>
        <id xml:space="preserve" xml:lang="it">x</id>
      </apply>
      <apply xml:lang="it">
        <div xml:lang="it" />
        <apply xml:lang="it">
          <minus xml:lang="it" />
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">e</id>
            <id xml:space="preserve" xml:lang="it">x</id>
          </apply>
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">e</id>
            <apply xml:lang="it">
              <neg xml:lang="it" />
              <id xml:space="preserve" xml:lang="it">x</id>
            </apply>
          </apply>
        </apply>
        <apply xml:lang="it">
          <plus xml:lang="it" />
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">e</id>
            <id xml:space="preserve" xml:lang="it">x</id>
          </apply>
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">e</id>
            <apply xml:lang="it">
              <neg xml:lang="it" />
              <id xml:space="preserve" xml:lang="it">x</id>
            </apply>
          </apply>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0E61KIB" top="979.20000000000016" left="38.400000000000006" height="47.2" width="131.33" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="78" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">csch</id>
        <id xml:space="preserve" xml:lang="it">x</id>
      </apply>
      <apply xml:lang="it">
        <div xml:lang="it" />
        <real xml:lang="it">1</real>
        <apply xml:lang="it">
          <id xml:space="preserve" xml:lang="it">sinh</id>
          <id xml:space="preserve" xml:lang="it">x</id>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0ER2KIB" top="1036.8000000000002" left="38.400000000000006" height="47.2" width="132.05" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="80" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">sech</id>
        <id xml:space="preserve" xml:lang="it">x</id>
      </apply>
      <apply xml:lang="it">
        <div xml:lang="it" />
        <real xml:lang="it">1</real>
        <apply xml:lang="it">
          <id xml:space="preserve" xml:lang="it">cosh</id>
          <id xml:space="preserve" xml:lang="it">x</id>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0ED3KIB" top="1075.2000000000003" left="38.400000000000006" height="47.2" width="134.25333333333333" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="82" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">coth</id>
        <id xml:space="preserve" xml:lang="it">x</id>
      </apply>
      <apply xml:lang="it">
        <div xml:lang="it" />
        <real xml:lang="it">1</real>
        <apply xml:lang="it">
          <id xml:space="preserve" xml:lang="it">tanh</id>
          <id xml:space="preserve" xml:lang="it">x</id>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Funzioni iperboliche e relazioni trigonometriche

Fare clic per copiare questa espressione

<region id="ID0EA4KIB" top="1190.4" left="19.200000000000003" height="25.6" width="154.07" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="84" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">sinh</id>
        <id xml:space="preserve" xml:lang="it">z</id>
      </apply>
      <apply xml:lang="it">
        <mult xml:lang="it" />
        <apply xml:lang="it">
          <neg xml:lang="it" />
          <id xml:space="preserve" xml:lang="it">i</id>
        </apply>
        <apply xml:lang="it">
          <id xml:space="preserve" xml:lang="it">sin</id>
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">i</id>
            <id xml:space="preserve" xml:lang="it">z</id>
          </apply>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0ES4KIB" top="1248.0000000000002" left="19.200000000000003" height="25.6" width="129.99" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="86" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">cosh</id>
        <id xml:space="preserve" xml:lang="it">z</id>
      </apply>
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">cos</id>
        <apply xml:lang="it">
          <mult xml:lang="it" />
          <id xml:space="preserve" xml:lang="it">i</id>
          <id xml:space="preserve" xml:lang="it">z</id>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0EE5KIB" top="1286.4" left="19.200000000000003" height="25.6" width="159.23666666666668" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="88" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">tanh</id>
        <id xml:space="preserve" xml:lang="it">z</id>
      </apply>
      <apply xml:lang="it">
        <mult xml:lang="it" />
        <apply xml:lang="it">
          <neg xml:lang="it" />
          <id xml:space="preserve" xml:lang="it">i</id>
        </apply>
        <apply xml:lang="it">
          <id xml:space="preserve" xml:lang="it">tan</id>
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">i</id>
            <id xml:space="preserve" xml:lang="it">z</id>
          </apply>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0EW5KIB" top="1344.0000000000002" left="19.200000000000003" height="47.2" width="133.66000000000003" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="90" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">csch</id>
        <id xml:space="preserve" xml:lang="it">z</id>
      </apply>
      <apply xml:lang="it">
        <div xml:lang="it" />
        <id xml:space="preserve" xml:lang="it">i</id>
        <apply xml:lang="it">
          <id xml:space="preserve" xml:lang="it">sin</id>
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">i</id>
            <id xml:space="preserve" xml:lang="it">z</id>
          </apply>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0EI6KIB" top="1382.4" left="19.200000000000003" height="47.2" width="134.38" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="92" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">sech</id>
        <id xml:space="preserve" xml:lang="it">z</id>
      </apply>
      <apply xml:lang="it">
        <div xml:lang="it" />
        <real xml:lang="it">1</real>
        <apply xml:lang="it">
          <id xml:space="preserve" xml:lang="it">cos</id>
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">i</id>
            <id xml:space="preserve" xml:lang="it">z</id>
          </apply>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>

Fare clic per copiare questa espressione

<region id="ID0E16KIB" top="1440.0000000000002" left="19.200000000000003" height="47.2" width="136.58333333333334" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="94" xml:lang="it">
    <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="it" />
      <apply xml:lang="it">
        <id xml:space="preserve" xml:lang="it">coth</id>
        <id xml:space="preserve" xml:lang="it">z</id>
      </apply>
      <apply xml:lang="it">
        <div xml:lang="it" />
        <id xml:space="preserve" xml:lang="it">i</id>
        <apply xml:lang="it">
          <id xml:space="preserve" xml:lang="it">tan</id>
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">i</id>
            <id xml:space="preserve" xml:lang="it">z</id>
          </apply>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="it">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="it" />
    </resultFormat>
  </math>
</region>