Question

Prove the following:- Sin^2a+cos^4a=cos^2a+sin^4a

Answer 1

just start solving RHS and LHS,

Hope it helps.

Answer 2

Answer:

sin² a + cos⁴ a = cos² a + sin⁴ a

<=> ( cos⁴ a - sin⁴ a ) - cos² a + sin² a = 0

<=> ( cos² a - sin² a ) ( cos² a + sin² a ) - cos² a + sin² a = 0

<=> ( cos² a - sin² a ) - cos² a + sin² a = 0

<=> 0 = 0