Question

Find the exact value of csc 5pi/6

Answer 1

Answer:

csc 2 (csc $\frac{5\pi}{6}$ = csc 150 = csc 30 = csc 2)

Step-by-step explanation:

csc $\frac{5\pi}{6}$ is in the 2nd Quadrant where only sin, and csc are positive.

csc $(\frac{5\pi}{6})=csc (\pi -(\frac{5\pi}{6}))=csc(\frac{5\pi}{6})$

but csc $\frac{5\pi}{6}$ = $\frac{1}{sin (\pi/6)} = \frac{1}{sin 30} = \frac{1}{1/2} =2$