The solution of trigonometric equation c...

The solution of trigonometric equation `cos^4x+sin^4x=2 cos (2x+ pi) cps(2x-pi)` is

A

`x= (npi)/2 +- sin^(-1) (1/5)`

B

`x=(npi)/4+(-1)^n/4 sin^(-1)((+-2sqrt2)/3)`

C

`x=(npi)/2+- cos^(-1)(1/5)`

D

`x=(npi)/4-(-1)^n/4cos^(-1)(1/5)`

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The correct Answer is:

B

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