Question

prove that sin²a+cos⁴s = cos²a+sin⁴a

Answer 1

its the prove. I think it's helpful

Answer 2

LHS = sin^{2} +cos^{4}

sin^{2} +( 1 - sin^{2} )^{2}

sin^{2} + 1 + sin^{4} - 2*sin^{2}

1 - sin^{2} + sin^{4}

cos^{2} +sin^{4} = RHS