Question

4 csc 2x = 2 csc2 x tan x

Answer 1

I read that as
4csc(2x) = (2csc^2 x)(tanx)

LS = 4/cos (2x)
= 4/(2sinxcosx)
= 2/(sinxcosx)

RS = (2/sinx)((1/sinx)(sinx/cosx)
= 2/(sinxcosx)
= LS