Answer
1. $sin(-135^\circ)= -\frac{\sqrt 2}{2}$.
2. $cos(-135^\circ)= -\frac{\sqrt 2}{2}$.
3. $tan(-135^\circ)= 1$.
4. $cot(-135^\circ)= 1$.
5. $sec(-135^\circ)= -\sqrt 2$.
6. $csc(-135^\circ)=-\sqrt 2$.
Work Step by Step
1. $sin(-135^\circ)=-sin(135^\circ)=-sin(180-45)^\circ=-sin(45)^\circ=-\frac{\sqrt 2}{2}$.
2. $cos(-135^\circ)=cos(135^\circ)=cos(180-45)^\circ=-cos(45)^\circ=-\frac{\sqrt 2}{2}$.
3. $tan(-135^\circ)=-tan(135^\circ)=-tan(180-45)^\circ=tan(45)^\circ=1$.
4. $cot(-135^\circ)=\frac{1}{tan(-135^\circ)}=1$.
5. $sec(-135^\circ)=\frac{1}{cos(-135^\circ)}=-\sqrt 2$.
6. $csc(-135^\circ)=\frac{1}{sin(-135^\circ)}=-\sqrt 2$.
