Solve `sinx+sinsqrt(((pi/8-cos2x)^2+sin^2 2x))=0`

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

Solve sin 2x=4 cos x .

Solve sinx +sin2x +sin3x +sin4x =0

Solve the equation sin^4x+cos^4x-2sin^2x+(3sin^2 2x)/4=0

Solve the equation (sqrt(3))/2sinx-cosx=cos^2x

Solve : 2sin(3x+(pi)/(4))=sqrt(1+8sin2x.cos^(2)2x),x in (0,2pi)

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

If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//2, n in I , then cos 2x is equal to

Solve the inequality sin2x gtsqrt(2)sin^2x+(2-sqrt(2))cos^2x