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Cofunction : ウィキペディア英語版
Cofunction

In mathematics, a function ''f'' is cofunction of a function ''g'' if ''f''(''A'') = ''g''(''B'') whenever ''A'' and ''B'' are complementary angles. This definition typically applies to trigonometric functions.〔.〕
For example, sine and cosine are cofunctions of each other (hence the "co" in "cosine"):
- A\right) = \cos(A)
| \cos\left(\frac - A\right) = \sin(A)
|-
|}
The same is true of secant and cosecant and of tangent and cotangent:
- A\right) = \csc(A)
| \csc\left(\frac - A\right) = \sec(A)
|-
| \tan\left(\frac - A\right) = \cot(A)
| \cot\left(\frac - A\right) = \tan(A)
|-
|}
These equations are also known as the cofunction identities.〔
This also holds true for the coversine (coversed sine, cvs), covercosine (coversed cosine, cvc), hacoversine (half-coversed sine, hcv), hacovercosine (half-coversed cosine, hcc) and excosecant (exterior cosecant, exc):
- A\right) = \operatorname(A)
|-
| \operatorname\left(\frac - A\right) = \operatorname(A)
|-
| \operatorname\left(\frac - A\right) = \operatorname(A)
|-
| \operatorname\left(\frac - A\right) = \operatorname(A)
|-
| \operatorname\left(\frac - A\right) = \operatorname(A)
|-
|}
==See also==

*Vercosine (versed cosine)
*Havercosine (half-versed cosine)
*Covariance

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Cofunction」の詳細全文を読む



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