Question

Sec8x-1/sec4x-1=tan8x/tan2x

Answer 1

Step-by-step explanation:

use secx = 1/cosx

now by using this we get,

(1- cos8x) (cos4x)/(1- cos4x)(cos8x)

use the formula of cos2x = 1-2 sin2x, we get

2 sin24x * cos4x/ 2sin22x* cos8x

now use 2 sinx cosx= sin2x, we get

sin 8x* cos2x/cos8x* sin2x

tan8x/tan2x

hence proved