Which of the following gives the general solution of the equation ?

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Which of the following gives the general solution of the equation

\sin\theta = \sin\alpha

? (a)

\theta = 2n\pi \pm \alpha,\; n\in\mathbb{Z}

(b)

\theta = n\pi + (-1)^n\alpha,\; n\in\mathbb{Z}

(c)

\theta = n\pi + \alpha,\; n\in\mathbb{Z}

(d)

\theta = n\pi \pm \alpha,\; n\in\mathbb{Z}