Question

Sin^2theta+cos^4theta=cos^2theta+sin^4
theta​

Answer 1

Step-by-step explanation:

to prove sin²a+cos⁴a=cos²a+sin⁴a

since sin²a+cos²a=1

cos²a+(1-cos²a)²=cos²a+1+cos⁴-2cos²a

=1+cos⁴a-cos²a=cos⁴a+1-cos²a

=cos⁴a+sin²a=lhs

since lhs = rhs

hence proved