Problem 1010

Rewrite cot (81°) in terms of its co function.

 

Solution:-

 

Each trigonometric function has a co-function. The sine’s co-function is the cosine, the tangent’s co-function is the cotangent and  the secant’s co-function is the cosecant. Thus, the abbreviation of the co-function of cot θ is tan θ.

According to the co-function identities, the trigonometric function of any angle is equal to the co-function of the angle’s complement.

Therefore, cot (81°) = tan (9)°.

 

 

 

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