Answer
1. $sin210^\circ= -\frac{1}{2}$.
2. $cos210^\circ= -\frac{\sqrt 3}{2}$.
3. $tan210^\circ= \frac{\sqrt 3}{3}$.
4. $cot210^\circ= \sqrt 3$.
5. $sec210^\circ= -\frac{2\sqrt 3}{3}$.
6. $csc210^\circ= -2$.
Work Step by Step
1. $sin210^\circ=sin(180+30)^\circ=-sin30^\circ=-\frac{1}{2}$.
2. $cos210^\circ=cos(180+30)^\circ=-cos30^\circ=-\frac{\sqrt 3}{2}$.
3. $tan210^\circ=tan(180+30)=tan30^\circ=\frac{\sqrt 3}{3}$.
4. $cot210^\circ=\frac{1}{tan210^\circ}=\sqrt 3$.
5. $sec210^\circ=\frac{1}{cos210^\circ}=-\frac{2\sqrt 3}{3}$.
6. $csc210^\circ=\frac{1}{sin210^\circ}=-2$.
