函數
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三角、對數與指數
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範例：反三角函數
範例：反三角函數
使用反三角函數取得各種三角函數的值 (以弧度表示)。
1.
以符號方式計算函數
sin
與
cos
。
<region id="ID0E6NPEB" actualWidth="86.646666666666675" actualHeight="51.158666666666669" top="38.400000000000006" left="19.200000000000003" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="30"> <symEval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" label-is-contextual="true" xml:space="preserve">sin</id> <apply> <div /> <id labels="CONSTANT" label-is-contextual="true" xml:space="preserve">π</id> <real>2</real> </apply> </apply> <command> <placeholder /> </command> <symResult> <real>1</real> </symResult> </symEval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0ENOPEB" actualWidth="88.920000000000016" actualHeight="51.158666666666669" top="38.400000000000006" left="172.8" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="31"> <symEval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" label-is-contextual="true" xml:space="preserve">cos</id> <apply> <div /> <id labels="CONSTANT" label-is-contextual="true" xml:space="preserve">π</id> <real>2</real> </apply> </apply> <command> <placeholder /> </command> <symResult> <real>0</real> </symResult> </symEval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
2.
使用傳回值以符號方式計算函數
acos
and
asin
。
<region id="ID0E2QPEB" actualWidth="94.640000000000015" actualHeight="51.158666666666669" top="96.000000000000014" left="19.200000000000003" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="32"> <symEval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" label-is-contextual="true" xml:space="preserve">asin</id> <real>1</real> </apply> <command> <placeholder /> </command> <symResult> <apply> <div /> <id labels="CONSTANT" xml:space="preserve">π</id> <real>2</real> </apply> </symResult> </symEval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0EJRPEB" actualWidth="96.913333333333355" actualHeight="51.158666666666669" top="96.000000000000014" left="172.8" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="33"> <symEval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" label-is-contextual="true" xml:space="preserve">acos</id> <real>0</real> </apply> <command> <placeholder /> </command> <symResult> <apply> <div /> <id labels="CONSTANT" xml:space="preserve">π</id> <real>2</real> </apply> </symResult> </symEval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
傳回值以弧度表示。
3.
以數值方式計算相同函數。
<region id="ID0E4SPEB" actualWidth="118.22" actualHeight="25.6" top="153.60000000000002" left="19.200000000000003" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="34"> <eval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" label-is-contextual="true" xml:space="preserve">asin</id> <real>1</real> </apply> <unitOverride> <placeholder /> </unitOverride> </eval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0ELTPEB" actualWidth="120.49333333333334" actualHeight="25.6" top="153.60000000000002" left="172.8" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="35"> <eval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" label-is-contextual="true" xml:space="preserve">acos</id> <real>0</real> </apply> <unitOverride> <placeholder /> </unitOverride> </eval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
4.
使用不同的值重複函數
cot
、
acot
、
sec
、
asec
、
csc
與
acsc
的這項比較。
<region id="ID0E3YPEB" actualWidth="108.62933364629747" actualHeight="53.445333527326589" top="230.40000000000003" left="19.200000000000003" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="36"> <symEval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" label-is-contextual="true" xml:space="preserve">cot</id> <apply> <div /> <id labels="CONSTANT" label-is-contextual="true" xml:space="preserve">π</id> <real>3</real> </apply> </apply> <command> <placeholder /> </command> <symResult> <apply> <div /> <apply> <nthRoot /> <placeholder /> <real>3</real> </apply> <real>3</real> </apply> </symResult> </symEval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0EQZPEB" actualWidth="116.69600031296414" actualHeight="53.445333527326589" top="230.40000000000003" left="172.8" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="37"> <symEval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" label-is-contextual="true" xml:space="preserve">acot</id> <apply> <div /> <apply> <nthRoot /> <placeholder /> <real>3</real> </apply> <real>3</real> </apply> </apply> <command> <placeholder /> </command> <symResult> <apply> <div /> <id labels="CONSTANT" xml:space="preserve">π</id> <real>3</real> </apply> </symResult> </symEval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0EE1PEB" actualWidth="140.27600031296413" actualHeight="53.445333527326589" top="230.40000000000003" left="345.6" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="38"> <eval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" label-is-contextual="true" xml:space="preserve">acot</id> <apply> <div /> <apply> <nthRoot /> <placeholder /> <real>3</real> </apply> <real>3</real> </apply> </apply> <unitOverride> <placeholder /> </unitOverride> </eval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0E41PEB" actualWidth="93.783333333333346" actualHeight="39.2" top="307.20000000000005" left="19.200000000000003" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="39"> <symEval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id xml:space="preserve">sec</id> <id labels="CONSTANT" label-is-contextual="true" xml:space="preserve">π</id> </apply> <command> <placeholder /> </command> <symResult> <real>-1</real> </symResult> </symEval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0ER2PEB" actualWidth="101.98333333333335" actualHeight="39.2" top="307.20000000000005" left="172.8" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="40"> <symEval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" xml:space="preserve">asec</id> <real>-1</real> </apply> <command> <placeholder /> </command> <symResult> <id labels="CONSTANT" xml:space="preserve">π</id> </symResult> </symEval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0EF3PEB" actualWidth="130.36333333333334" actualHeight="25.6" top="307.20000000000005" left="345.6" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="41"> <eval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" xml:space="preserve">asec</id> <real>-1</real> </apply> <unitOverride> <placeholder /> </unitOverride> </eval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0E53PEB" actualWidth="88.04" actualHeight="51.158666666666669" top="384.00000000000006" left="19.200000000000003" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="42"> <symEval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" label-is-contextual="true" xml:space="preserve">csc</id> <apply> <div /> <id labels="CONSTANT" label-is-contextual="true" xml:space="preserve">π</id> <real>2</real> </apply> </apply> <command> <placeholder /> </command> <symResult> <real>1</real> </symResult> </symEval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0ES4PEB" actualWidth="96.033333333333331" actualHeight="51.158666666666669" top="384.00000000000006" left="172.8" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="43"> <symEval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" xml:space="preserve">acsc</id> <real>1</real> </apply> <command> <placeholder /> </command> <symResult> <apply> <div /> <id labels="CONSTANT" xml:space="preserve">π</id> <real>2</real> </apply> </symResult> </symEval> <resultFormat> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0EG5PEB" actualWidth="119.61333333333334" actualHeight="25.6" top="384.00000000000006" left="345.6" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="44"> <eval xmlns="http://schemas.mathsoft.com/math50"> <apply> <id labels="FUNCTION" label-is-contextual="true" xml:space="preserve">acsc</id> <real>1</real> </apply> <unitOverride> <placeholder /> </unitOverride> </eval> </math> </region>
複製運算式
相關主題
反三角函數
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