範例：三角等式

函數 > 三角、對數與指數 > 範例：三角等式

範例：三角等式

基本等式

按一下以複製此運算式

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

按一下以複製此運算式

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

按一下以複製此運算式

按一下以複製此運算式

按一下以複製此運算式

複雜等式

按一下以複製此運算式

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

按一下以複製此運算式

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

按一下以複製此運算式

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

按一下以複製此運算式

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      <equal xml:lang="zh_TW" />
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        <pow xml:lang="zh_TW" />
        <id xml:space="preserve" xml:lang="zh_TW">e</id>
        <apply xml:lang="zh_TW">
          <plus xml:lang="zh_TW" />
          <id xml:space="preserve" xml:lang="zh_TW">x</id>
          <apply xml:lang="zh_TW">
            <mult xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">i</id>
            <id xml:space="preserve" xml:lang="zh_TW">y</id>
          </apply>
        </apply>
      </apply>
      <apply xml:lang="zh_TW">
        <mult xml:lang="zh_TW" />
        <apply xml:lang="zh_TW">
          <pow xml:lang="zh_TW" />
          <id xml:space="preserve" xml:lang="zh_TW">e</id>
          <id xml:space="preserve" xml:lang="zh_TW">x</id>
        </apply>
        <parens xml:lang="zh_TW">
          <apply xml:lang="zh_TW">
            <plus xml:lang="zh_TW" />
            <apply xml:lang="zh_TW">
              <id xml:space="preserve" xml:lang="zh_TW">cos</id>
              <id xml:space="preserve" xml:lang="zh_TW">y</id>
            </apply>
            <apply xml:lang="zh_TW">
              <mult xml:lang="zh_TW" />
              <id xml:space="preserve" xml:lang="zh_TW">i</id>
              <apply xml:lang="zh_TW">
                <id xml:space="preserve" xml:lang="zh_TW">sin</id>
                <id xml:space="preserve" xml:lang="zh_TW">y</id>
              </apply>
            </apply>
          </apply>
        </parens>
      </apply>
    </apply>
    <resultFormat xml:lang="zh_TW">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="zh_TW" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" />
    </resultFormat>
  </math>
</region>

按一下以複製此運算式

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

ln0 函數類似於 ln，但前者會定義來供零使用。

按一下以複製此運算式

按一下以複製此運算式

雙曲線函數與指數

按一下以複製此運算式

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      <apply xml:lang="zh_TW">
        <div xml:lang="zh_TW" />
        <apply xml:lang="zh_TW">
          <minus xml:lang="zh_TW" />
          <apply xml:lang="zh_TW">
            <pow xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">e</id>
            <id xml:space="preserve" xml:lang="zh_TW">x</id>
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          <apply xml:lang="zh_TW">
            <pow xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">e</id>
            <apply xml:lang="zh_TW">
              <neg xml:lang="zh_TW" />
              <id xml:space="preserve" xml:lang="zh_TW">x</id>
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        <real xml:lang="zh_TW">2</real>
      </apply>
    </apply>
    <resultFormat xml:lang="zh_TW">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="zh_TW" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" />
    </resultFormat>
  </math>
</region>

按一下以複製此運算式

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        <id xml:space="preserve" xml:lang="zh_TW">cosh</id>
        <id xml:space="preserve" xml:lang="zh_TW">x</id>
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      <apply xml:lang="zh_TW">
        <div xml:lang="zh_TW" />
        <apply xml:lang="zh_TW">
          <plus xml:lang="zh_TW" />
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            <id xml:space="preserve" xml:lang="zh_TW">e</id>
            <id xml:space="preserve" xml:lang="zh_TW">x</id>
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          <apply xml:lang="zh_TW">
            <pow xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">e</id>
            <apply xml:lang="zh_TW">
              <neg xml:lang="zh_TW" />
              <id xml:space="preserve" xml:lang="zh_TW">x</id>
            </apply>
          </apply>
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        <real xml:lang="zh_TW">2</real>
      </apply>
    </apply>
    <resultFormat xml:lang="zh_TW">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="zh_TW" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" />
    </resultFormat>
  </math>
</region>

按一下以複製此運算式

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      <equal xml:lang="zh_TW" />
      <apply xml:lang="zh_TW">
        <id xml:space="preserve" xml:lang="zh_TW">tanh</id>
        <id xml:space="preserve" xml:lang="zh_TW">x</id>
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      <apply xml:lang="zh_TW">
        <div xml:lang="zh_TW" />
        <apply xml:lang="zh_TW">
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            <id xml:space="preserve" xml:lang="zh_TW">e</id>
            <id xml:space="preserve" xml:lang="zh_TW">x</id>
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          <apply xml:lang="zh_TW">
            <pow xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">e</id>
            <apply xml:lang="zh_TW">
              <neg xml:lang="zh_TW" />
              <id xml:space="preserve" xml:lang="zh_TW">x</id>
            </apply>
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        </apply>
        <apply xml:lang="zh_TW">
          <plus xml:lang="zh_TW" />
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            <pow xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">e</id>
            <id xml:space="preserve" xml:lang="zh_TW">x</id>
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          <apply xml:lang="zh_TW">
            <pow xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">e</id>
            <apply xml:lang="zh_TW">
              <neg xml:lang="zh_TW" />
              <id xml:space="preserve" xml:lang="zh_TW">x</id>
            </apply>
          </apply>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="zh_TW">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="zh_TW" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" />
    </resultFormat>
  </math>
</region>

按一下以複製此運算式

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      <equal xml:lang="zh_TW" />
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      <apply xml:lang="zh_TW">
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        <apply xml:lang="zh_TW">
          <id xml:space="preserve" xml:lang="zh_TW">sinh</id>
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      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" />
    </resultFormat>
  </math>
</region>

按一下以複製此運算式

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    <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="zh_TW" />
      <apply xml:lang="zh_TW">
        <id xml:space="preserve" xml:lang="zh_TW">sech</id>
        <id xml:space="preserve" xml:lang="zh_TW">x</id>
      </apply>
      <apply xml:lang="zh_TW">
        <div xml:lang="zh_TW" />
        <real xml:lang="zh_TW">1</real>
        <apply xml:lang="zh_TW">
          <id xml:space="preserve" xml:lang="zh_TW">cosh</id>
          <id xml:space="preserve" xml:lang="zh_TW">x</id>
        </apply>
      </apply>
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    <resultFormat xml:lang="zh_TW">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="zh_TW" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" />
    </resultFormat>
  </math>
</region>

按一下以複製此運算式

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    <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="zh_TW" />
      <apply xml:lang="zh_TW">
        <id xml:space="preserve" xml:lang="zh_TW">coth</id>
        <id xml:space="preserve" xml:lang="zh_TW">x</id>
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      <apply xml:lang="zh_TW">
        <div xml:lang="zh_TW" />
        <real xml:lang="zh_TW">1</real>
        <apply xml:lang="zh_TW">
          <id xml:space="preserve" xml:lang="zh_TW">tanh</id>
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雙曲線函數與三角關係

按一下以複製此運算式

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    <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="zh_TW" />
      <apply xml:lang="zh_TW">
        <id xml:space="preserve" xml:lang="zh_TW">sinh</id>
        <id xml:space="preserve" xml:lang="zh_TW">z</id>
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      <apply xml:lang="zh_TW">
        <mult xml:lang="zh_TW" />
        <apply xml:lang="zh_TW">
          <neg xml:lang="zh_TW" />
          <id xml:space="preserve" xml:lang="zh_TW">i</id>
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        <apply xml:lang="zh_TW">
          <id xml:space="preserve" xml:lang="zh_TW">sin</id>
          <apply xml:lang="zh_TW">
            <mult xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">i</id>
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按一下以複製此運算式

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    <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="zh_TW" />
      <apply xml:lang="zh_TW">
        <id xml:space="preserve" xml:lang="zh_TW">cosh</id>
        <id xml:space="preserve" xml:lang="zh_TW">z</id>
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      <apply xml:lang="zh_TW">
        <id xml:space="preserve" xml:lang="zh_TW">cos</id>
        <apply xml:lang="zh_TW">
          <mult xml:lang="zh_TW" />
          <id xml:space="preserve" xml:lang="zh_TW">i</id>
          <id xml:space="preserve" xml:lang="zh_TW">z</id>
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      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="zh_TW" />
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按一下以複製此運算式

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    <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="zh_TW" />
      <apply xml:lang="zh_TW">
        <id xml:space="preserve" xml:lang="zh_TW">tanh</id>
        <id xml:space="preserve" xml:lang="zh_TW">z</id>
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      <apply xml:lang="zh_TW">
        <mult xml:lang="zh_TW" />
        <apply xml:lang="zh_TW">
          <neg xml:lang="zh_TW" />
          <id xml:space="preserve" xml:lang="zh_TW">i</id>
        </apply>
        <apply xml:lang="zh_TW">
          <id xml:space="preserve" xml:lang="zh_TW">tan</id>
          <apply xml:lang="zh_TW">
            <mult xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">i</id>
            <id xml:space="preserve" xml:lang="zh_TW">z</id>
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按一下以複製此運算式

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  <math resultRef="90" xml:lang="zh_TW">
    <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="zh_TW" />
      <apply xml:lang="zh_TW">
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        <id xml:space="preserve" xml:lang="zh_TW">z</id>
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      <apply xml:lang="zh_TW">
        <div xml:lang="zh_TW" />
        <id xml:space="preserve" xml:lang="zh_TW">i</id>
        <apply xml:lang="zh_TW">
          <id xml:space="preserve" xml:lang="zh_TW">sin</id>
          <apply xml:lang="zh_TW">
            <mult xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">i</id>
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</region>

按一下以複製此運算式

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    <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="zh_TW" />
      <apply xml:lang="zh_TW">
        <id xml:space="preserve" xml:lang="zh_TW">sech</id>
        <id xml:space="preserve" xml:lang="zh_TW">z</id>
      </apply>
      <apply xml:lang="zh_TW">
        <div xml:lang="zh_TW" />
        <real xml:lang="zh_TW">1</real>
        <apply xml:lang="zh_TW">
          <id xml:space="preserve" xml:lang="zh_TW">cos</id>
          <apply xml:lang="zh_TW">
            <mult xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">i</id>
            <id xml:space="preserve" xml:lang="zh_TW">z</id>
          </apply>
        </apply>
      </apply>
    </apply>
    <resultFormat xml:lang="zh_TW">
      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="zh_TW" />
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" />
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  </math>
</region>

按一下以複製此運算式

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  <math resultRef="94" xml:lang="zh_TW">
    <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
      <equal xml:lang="zh_TW" />
      <apply xml:lang="zh_TW">
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        <id xml:space="preserve" xml:lang="zh_TW">z</id>
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      <apply xml:lang="zh_TW">
        <div xml:lang="zh_TW" />
        <id xml:space="preserve" xml:lang="zh_TW">i</id>
        <apply xml:lang="zh_TW">
          <id xml:space="preserve" xml:lang="zh_TW">tan</id>
          <apply xml:lang="zh_TW">
            <mult xml:lang="zh_TW" />
            <id xml:space="preserve" xml:lang="zh_TW">i</id>
            <id xml:space="preserve" xml:lang="zh_TW">z</id>
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      <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="zh_TW" />
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