Question

Prove (sin4x)/(1-cos4x) = cotx - 1/2(cscxsecx)

Please help me get started on this question... I'm at a lost as for what to do first....

Answer 1

sin4x/(1-cos4x)
(2 sin2x cos2x)/(2sin^2 2x)
cos2x/sin2x
(2cos^2 x - 1)/(2sinx cosx)
cosx/sinx - 1/(2sinx cosx)
cotx - 1/2 cscx secx