Answer
1. $sin(-240^\circ)= \frac{\sqrt 3}{2}$.
2. $cos(-240^\circ)= -\frac{1}{2}$.
3. $tan(-240^\circ)= -\sqrt 3$.
4. $cot(-240^\circ)= -\frac{\sqrt 3}{3}$.
5. $sec(-240^\circ)= -2$.
6. $csc(-240^\circ)= \frac{2\sqrt 3}{3}$.
Work Step by Step
1. $sin(-240^\circ)=-sin(240^\circ)=-sin(180+60)^\circ=sin(60)^\circ=\frac{\sqrt 3}{2}$.
2. $cos(-240^\circ)=cos(240^\circ)=cos(180+60)^\circ=-cos(60)^\circ=-\frac{1}{2}$.
3. $tan(-240^\circ)=-tan(240^\circ)=-tan(180+60)^\circ=-tan(60)^\circ=-\sqrt 3$.
4. $cot(-240^\circ)=\frac{1}{tan(-240^\circ)}=-\frac{\sqrt 3}{3}$.
5. $sec(-240^\circ)=\frac{1}{cos(-240^\circ)}=-2$.
6. $csc(-240^\circ)=\frac{1}{sin(-240^\circ)}=\frac{2\sqrt 3}{3}$.
