Answer
1. $sin(5\pi)= 0$.
2. $cos(5\pi)= -1$.
3. $tan(5\pi)= 0$.
4. $cot(5\pi)= undefined$.
5. $sec(5\pi)= -1$.
6. $csc(5\pi)= undefined$.
Work Step by Step
1. $sin(5\pi)=sin(4\pi+\pi)=sin\pi=0$.
2. $cos(5\pi)=cos(4\pi+\pi)=cos\pi=-1$.
3. $tan(5\pi)=tan(4\pi+\pi)=tan\pi=0$.
4. $cot(5\pi)=cot(4\pi+\pi)=cot\pi=undefined$.
5. $sec(5\pi)=\frac{1}{cos(5\pi)}=-1$.
6. $csc(5\pi)=\frac{1}{sin(5\pi)}=undefined$.