Question

prove that sin square theta+ cos four theta = cos square theta+ sin four theta

Answer 1

Answer:

Step-by-step explanation:

Consider LHS

sin^2+cos^4

(1-cos^2)+(1-sin^2)^2

1-cos^2+1+sin^4-2sin^2

1-cos^2+1+sin^4-2(1-cos^2)

1-cos^2+1+sin^4-2+2cos^2

sin^4+cos^2

=rhs