Evaluate the trigonometric function using its period as an aid. $\sin 4 \pi$
A) $\sin 4 \pi = 4$
B) $\sin 4 \pi = - 1$
C) $\sin 4 \pi = - 4$
D) $\sin 4 \pi = 0$
E) $\sin 4 \pi = \infty$

Question

Evaluate the trigonometric function using its period as an aid.​ $\sin 4 \pi$ ​
A) $\sin 4 \pi = 4$
B) $\sin 4 \pi = - 1$
C) $\sin 4 \pi = - 4$
D) $\sin 4 \pi = 0$
E) $\sin 4 \pi = \infty$

Quizplus · Accepted Answer

The sine function has a period of $2\pi$, meaning it repeats every $2\pi$ radians. Therefore, $\sin 4\pi = \sin 0 = 0$, since $4\pi$ is an integer multiple of the period $2\pi$.

Evaluate the Trigonometric Function Using Its Period as an Aid sin⁡4π\sin 4 \pisin4π

Evaluate the Trigonometric Function Using Its Period as an Aid $\sin 4 \pi$