Question

assume angles are in degrees. sin 296 is the same as (a) sin -64 (b) sin 27 (c) dont know (d) sin 64 (e) sin -27

Explanation:

Step1: Use angle - reduction formula

We know that $\sin(x)=\sin(360^{\circ}+x)$ and $\sin(x)=-\sin(-x)$. Also, $\sin(296^{\circ})=\sin(360^{\circ} - 64^{\circ})$. According to the formula $\sin(360^{\circ}-\alpha)=-\sin\alpha$, so $\sin(296^{\circ})=-\sin(64^{\circ})=\sin(- 64^{\circ})$.

Answer:

a. $\sin - 64$