Solve `2sin^(2)x+sin^(2)2x=2`.

Solve 2 cos ^(2) x+3 sin x=0

Solve 2sin^(2)x-5sinxcosx-8cos^(2)x=-2 .

Solve: sin 2x-sin 4x+sin 6x =0

Prove that (sin x-sin 3 x)/(sin ^(2) x-cos ^(2) x)=2 sin x

Solve sin2x-sin4x+sin6x=0

Solve sin2x-sin4x+sin6x=0

Show that (i) sin ^(2) 6 x-sin ^(2) dot(4) x=sin 2 x sin 10 x (ii) cos ^(2) 2 x-cos ^(2) 6 x=sin 4 x sin 8 x

Show that cos 2 x=cos ^(2) x-sin ^(2) x=2 cos ^(2) x-1=1-2 sin ^(2) x=(1-tan ^(2) x)/(1+tan ^(2) x)

Prove that sin^-1(2xsqrt(1-x^2))=2sin^-1x