Answer
1. $sin240^\circ= -\frac{\sqrt 3}{2}$.
2. $cos240^\circ= -\frac{1}{2}$.
3. $tan240^\circ= \sqrt 3$.
4. $cot240^\circ= \frac{\sqrt 3}{3}$.
5. $sec240^\circ= -2$.
6. $csc240^\circ= -\frac{2\sqrt 3}{3}$.
Work Step by Step
1. $sin240^\circ=sin(180+60)^\circ=-sin60^\circ=-\frac{\sqrt 3}{2}$.
2. $cos240^\circ=cos(180+60)^\circ=-cos60^\circ=-\frac{1}{2}$.
3. $tan240^\circ=tan(180+60)=tan60^\circ=\sqrt 3$.
4. $cot240^\circ=\frac{1}{tan240^\circ}=\frac{\sqrt 3}{3}$.
5. $sec240^\circ=\frac{1}{cos240^\circ}=-2$.
6. $csc240^\circ=\frac{1}{sin240^\circ}=-\frac{2\sqrt 3}{3}$.
