Solve the equation. Give a general formula for all the solutions.
-$\sin \theta = 0$
A) $\theta = \frac { \pi } { 2 } + k \pi$
B) $\theta = \frac { \pi } { 2 } + 2 \mathrm { k } \pi$
C) $\theta = 0 + \mathrm { k } \pi$
D) $\theta = 0 + 2 \mathrm { k } \pi$

Question

Quizplus · Accepted Answer

The sine function, $\sin \theta$, equals 0 at integer multiples of $\pi$, i.e., $\theta = 0 + k\pi$, where $k$ is any integer. This includes points where the angle $\theta$ is 0, $\pi$, $2\pi$, etc.

Solve the Equation sin⁡θ=0\sin \theta = 0sinθ=0 A) θ=π2+kπ\theta = \frac { \pi } { 2 } + k \piθ=2π​+kπ

Solve the Equation $\sin \theta = 0$ A) $\theta = \frac { \pi } { 2 } + k \pi$