What is csc2x if tanx = -3/4 and pi/2 < x < pi

Question

The first "<" is a one with a line under it.

Answer 1

The conditions put x in QII

sin x = 3/5

cos x = -4/5

 

csc2x = 1 / sin2x

csc 2x = 1 / (2 sin x cos x)

 

Can you substitute and answer?