Question

Prove that sin^^ theta - cos^^ theta + 1 = 2sin sq theta

Answer 1

${sin}^{2} \alpha + {cos}^{2} \alpha = 1$
u can use instead of alpha as theta

sin^^theta-cos^^theta+1=2sin^^theta

L.H.S
=sin^^theta+(1-cos^^theta)

=sin^^theta+sin^^theta

(1-cos^^theta=sin^^theta)

=2sin^^theta
=R.H.S

I hope u will get it.