函數
>
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
。
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<region id="ID0E6G3KB" actualWidth="88.920000000000016" actualHeight="51.158666666666669" top="38.400000000000006" left="172.8" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="31" xml:lang="zh_TW"> <symEval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">cos</id> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <id labels="CONSTANT" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">π</id> <real xml:lang="zh_TW">2</real> </apply> </apply> <command xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </command> <symResult xml:lang="zh_TW"> <real xml:lang="zh_TW">0</real> </symResult> </symEval> <resultFormat 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>
2.
使用傳回值以符號方式計算函數
acos
and
asin
。
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<region id="ID0EMK3KB" actualWidth="96.913333333333355" actualHeight="51.158666666666669" top="96.000000000000014" left="172.8" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="33" xml:lang="zh_TW"> <symEval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">acos</id> <real xml:lang="zh_TW">0</real> </apply> <command xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </command> <symResult xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <id labels="CONSTANT" xml:space="preserve" xml:lang="zh_TW">π</id> <real xml:lang="zh_TW">2</real> </apply> </symResult> </symEval> <resultFormat 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>
傳回值以弧度表示。
3.
以數值方式計算相同函數。
<region id="ID0EGM3KB" actualWidth="118.22" actualHeight="25.6" top="153.60000000000002" left="19.200000000000003" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="34" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">asin</id> <real xml:lang="zh_TW">1</real> </apply> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> <resultFormat 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>
<region id="ID0EYM3KB" actualWidth="120.49333333333334" actualHeight="25.6" top="153.60000000000002" left="172.8" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="35" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">acos</id> <real xml:lang="zh_TW">0</real> </apply> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> <resultFormat 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>
4.
使用不同的值重複函數
cot
、
acot
、
sec
、
asec
、
csc
與
acsc
的這項比較。
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<region id="ID0EEU3KB" actualWidth="116.69600031296414" actualHeight="53.445333527326589" top="230.40000000000003" left="172.8" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="37" xml:lang="zh_TW"> <symEval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">acot</id> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <nthRoot xml:lang="zh_TW" /> <placeholder xml:lang="zh_TW" /> <real xml:lang="zh_TW">3</real> </apply> <real xml:lang="zh_TW">3</real> </apply> </apply> <command xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </command> <symResult xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <id labels="CONSTANT" xml:space="preserve" xml:lang="zh_TW">π</id> <real xml:lang="zh_TW">3</real> </apply> </symResult> </symEval> <resultFormat 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>
<region id="ID0E3U3KB" actualWidth="140.27600031296413" actualHeight="53.445333527326589" top="230.40000000000003" left="345.6" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="38" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">acot</id> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <nthRoot xml:lang="zh_TW" /> <placeholder xml:lang="zh_TW" /> <real xml:lang="zh_TW">3</real> </apply> <real xml:lang="zh_TW">3</real> </apply> </apply> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> <resultFormat 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>
<region id="ID0EYV3KB" actualWidth="93.783333333333346" actualHeight="39.2" top="307.20000000000005" left="19.200000000000003" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="39" xml:lang="zh_TW"> <symEval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id xml:space="preserve" xml:lang="zh_TW">sec</id> <id labels="CONSTANT" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">π</id> </apply> <command xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </command> <symResult xml:lang="zh_TW"> <real xml:lang="zh_TW">-1</real> </symResult> </symEval> <resultFormat 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>
<region id="ID0EQW3KB" actualWidth="101.98333333333335" actualHeight="39.2" top="307.20000000000005" left="172.8" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="40" xml:lang="zh_TW"> <symEval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW">asec</id> <real xml:lang="zh_TW">-1</real> </apply> <command xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </command> <symResult xml:lang="zh_TW"> <id labels="CONSTANT" xml:space="preserve" xml:lang="zh_TW">π</id> </symResult> </symEval> <resultFormat 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>
<region id="ID0EIX3KB" actualWidth="130.36333333333334" actualHeight="25.6" top="307.20000000000005" left="345.6" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="41" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW">asec</id> <real xml:lang="zh_TW">-1</real> </apply> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> <resultFormat 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>
<region id="ID0EEY3KB" actualWidth="88.04" actualHeight="51.158666666666669" top="384.00000000000006" left="19.200000000000003" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="42" xml:lang="zh_TW"> <symEval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">csc</id> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <id labels="CONSTANT" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">π</id> <real xml:lang="zh_TW">2</real> </apply> </apply> <command xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </command> <symResult xml:lang="zh_TW"> <real xml:lang="zh_TW">1</real> </symResult> </symEval> <resultFormat 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>
<region id="ID0E3Y3KB" actualWidth="96.033333333333331" actualHeight="51.158666666666669" top="384.00000000000006" left="172.8" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="43" xml:lang="zh_TW"> <symEval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW">acsc</id> <real xml:lang="zh_TW">1</real> </apply> <command xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </command> <symResult xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <div xml:lang="zh_TW" /> <id labels="CONSTANT" xml:space="preserve" xml:lang="zh_TW">π</id> <real xml:lang="zh_TW">2</real> </apply> </symResult> </symEval> <resultFormat 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>
<region id="ID0EUZ3KB" actualWidth="119.61333333333334" actualHeight="25.6" top="384.00000000000006" left="345.6" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="44" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="FUNCTION" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">acsc</id> <real xml:lang="zh_TW">1</real> </apply> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> </math> </region>
複製運算式
