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