Establish the following identity.

Question

1/1-cosx + 1/1+cosx = 2csc(squared)x

Answer 1

LS
= 1/(1-cosx) + 1/(1+cosx)
= (1+cosx + 1 -cosx)/((1-cosx)(1+cosx))
= 2/(1- cos^2x)
= 2/sin^2x
= 2csc^2 x
= RS