Most general value of θ satisfying equations sin θ = sin α and cos θ = cos α is

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Trigonometrical Equations

easy

The most general value of $\theta $ satisfying the equations $\sin \theta = \sin \alpha $ and $\cos \theta = \cos \alpha $ is

A

$2n\pi + \alpha $

B

$2n\pi - \alpha $

C

$n\pi + \alpha $

D

$n\pi - \alpha $

(IIT-1971)

Solution

(a) It is obvious.

Standard 11

Mathematics

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