関数
>
三角関数、対数関数、指数関数
> 例:逆三角関数
例:逆三角関数
逆三角関数を使用してさまざまな三角関数の値をラジアンで求めます。
1.
関数
sin
および
cos
をシンボリックに評価します。
<region id="ID0EFQEEB" 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="ID0ETQEEB" 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.
戻り値を使用して関数
acos
および
asin
をシンボリックに評価します。
<region id="ID0EBTEEB" 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="ID0EPTEEB" 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>
戻り値はラジアンで表示されます。
3.
同じ関数を数値的に評価します。
<region id="ID0EDVEEB" 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="ID0ERVEEB" 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.
関数
cot
、
acot
、
sec
、
asec
、
csc
、および
acsc
について別の値でこの比較を繰り返します。
<region id="ID0EC2EEB" 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="ID0EW2EEB" 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="ID0EK3EEB" 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="ID0ED4EEB" 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="ID0EX4EEB" 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="ID0EL5EEB" 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="ID0EE6EEB" 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="ID0EY6EEB" 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="ID0EMAFEB" 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>
式をコピー
関連トピック
逆三角関数
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