How do I solve these trigonometric equations?!

Find all solutions in the interval [0, 2π).

(sin x) (cos x) = 0

Find all solutions in the interval [0, 2π).

cos2x + 2 cos x + 1 = 0

Find all solutions to the equation.

cos2x + 2 cos x + 1 = 0

So the question is asking to find the solution of the following data that is given and also its trigonometric function, base on that, the possible answer would be cos2 x+2cosx+1 = (cosx+1) 2, x = pi/2 and 3pi/2 and pi/2 ... I hope you are satisfied with my answer and feel free to ask for more