Solve for x: `sin2x+sinx +cos2x+cosx +1 =0`

Solve: sinx-sin2x=cos2x-cosx

cosx + sinx = cos2x + sin2x

Solve sin2x-cos2x=sinx-cosx

Solve for x and y the system of equations sinx cos 2y=1 cosx sin 2y=0

Solve for x and y the system of equations sinx cos 2y=1 cosx sin 2y=0

If f(x) = \begin{vmatrix} cos2x & cos2x & sin2x \\ -cosx & cosx & -sinx\\ sinx & sinx & cosx \end{vmatrix} then

Solve |sinx +cos x |=|sinx|+|cosx|, x in [0,2pi] .

Solve |sinx +cos x |=|sinx|+|cosx|, x in [0,2pi] .

Solve |sinx +cos x |=|sinx|+|cosx|, x in [0,2pi] .