Answer
1. $sin\frac{13\pi}{6}= \frac{1}{2}$.
2. $cos\frac{13\pi}{6}= \frac{\sqrt 3}{2}$.
3. $tan\frac{13\pi}{6}= \frac{\sqrt 3}{3}$.
4. $cot\frac{13\pi}{6}= \sqrt 3$.
5. $sec\frac{13\pi}{6}= \frac{2\sqrt 3}{3}$.
6. $csc\frac{13\pi}{6}= 2$.
Work Step by Step
1. $sin\frac{13\pi}{6}=sin(2\pi+\frac{\pi}{6})=sin\frac{\pi}{6}=\frac{1}{2}$.
2. $cos\frac{13\pi}{6}=cos(2\pi+\frac{\pi}{6})=cos\frac{\pi}{6}=\frac{\sqrt 3}{2}$.
3. $tan\frac{13\pi}{6}=tan(2\pi+\frac{\pi}{6})=tan\frac{\pi}{6}=\frac{\sqrt 3}{3}$.
4. $cot\frac{13\pi}{6}=\frac{1}{tan\frac{13\pi}{6}}=\sqrt 3$.
5. $sec\frac{13\pi}{6}=\frac{1}{cos\frac{13\pi}{6}}=\frac{2\sqrt 3}{3}$.
6. $csc\frac{13\pi}{6}=\frac{1}{sin\frac{13\pi}{6}}=2$.
