Answer
1. $sin(-\frac{13\pi}{6})= -\frac{1}{2}$.
2. $cos(-\frac{13\pi}{6})= \frac{\sqrt 3}{2}$.
3. $tan(-\frac{13\pi}{6})= -\frac{\sqrt 3}{3}$.
4. $cot(-\frac{13\pi}{6})= -\sqrt 3$.
5. $sec(-\frac{13\pi}{6})= \frac{2\sqrt 3}{3}$.
6. $csc(-\frac{13\pi}{6})= -2$.
Work Step by Step
1. $sin(-\frac{13\pi}{6})=sin(-2\pi-\frac{\pi}{6})=-sin(\frac{\pi}{6})=-\frac{1}{2}$.
2. $cos(-\frac{13\pi}{6})=cos(-2\pi-\frac{\pi}{6})=cos(\frac{\pi}{6})=\frac{\sqrt 3}{2}$.
3. $tan(-\frac{13\pi}{6})=tan(-2\pi-\frac{\pi}{6})=-tan(\frac{\pi}{6})=-\frac{\sqrt 3}{3}$.
4. $cot(-\frac{13\pi}{6})=cot(-2\pi-\frac{\pi}{6})=-cot(\frac{\pi}{6})=-\sqrt 3$.
5. $sec(-\frac{13\pi}{6})=\frac{1}{cos(-\frac{13\pi}{6})}=\frac{2\sqrt 3}{3}$.
6. $csc(-\frac{13\pi}{6})=\frac{1}{sin(-\frac{13\pi}{6})}=-2$.
