prove 2csc(2x)= csc(x)^2tanx

Answer 1

L.H. Side:
2 csc(2x) = 2/sin(2x)
= 1/(sinx cosx)

R.H. side:
csc(x)^2 tan x = (1/sin^2x)(sinx/cosx)
= 1/(sinx cosx)

q.e.d.