Question

sin + sin^2= 1 prove cos^2 +cos^4=1​

Answer 1

Step-by-step explanation:

sin+sin^2=1

Therfore sin l=1-sin^2

" sin =cos^2 (1-sin^2=cos^2)............(1)

" sqauring on both the side

" sin^2 =cos^4 .......... (2)

LHS=cos^2+cos^4

=sin+sin^2 (putting equation 1 and 2)

=1

=RHS

HENCE PROVED