Evaluate.
-$$\sin \left( \frac { \pi } { 3 } + 258 \pi \right)$$
A) $- \frac { 1 } { 2 }$
B) $\sqrt { 3 }$
C) $\frac { \sqrt { 3 } } { 2 }$
D) $\frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\sin\left(\frac{\pi}{3}\right)$ because adding $258\pi$ (an even multiple of $\pi$) does not change the sine value due to periodicity. $\sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}$.

Evaluate - sin⁡(π3+258π)\sin \left( \frac { \pi } { 3 } + 258 \pi \right)sin(3π​+258π)

Evaluate
- $\sin \left( \frac { \pi } { 3 } + 258 \pi \right)$