Question

The general solution of $\sin \theta =0$ is

• A. $\left(\begin{array}{c}n+\frac{1}{2}\end{array}\right)\pi$
• B. $n\pi +(-1{)}^n\frac{\pi }{2}$
• C. $n\pi$
• D. none

Answer 1

The correct option is C $n\pi$

$\sin \theta =0$ when $\theta =\pi ,2\pi ,3\pi ,4\pi ...............$

Therefore, General Solution of $sin\theta =0$ is $n\pi$