solve cos(squared)x + sinx = 1 {0, 2pie)

Answer 1

Solve 1 - sin^2x + sin x = 1
That can be rewritten, after subtracting the 1's from both sides, as:
sinx (sinx +1) = 0
sinx = 0 or -1

What angles would those be? Hint: One of them is x=0.