Question #eaa93

1 Answer
Sep 27, 2017

We are using Following formulas to Prove this identity
1. cos2x+sin2x=1
2. a2b2=(a+b)(ab)

L.H.S.
cos4xsin4x2cos2x
=(cos2x)2(sin2x)22cos2x
using a2b2=(a+b)(ab)
=(cos2xsin2x)×(cos2x+sin2x)2cos2x
=(cos2xsin2x)×(1)2cos2x
=cos2xsin2x2cos2x
=cos2xsin2x
=(cos2x+sin2x)
=(1)=1 = R.H.S.

HENCE PROVED