Solve the following trigonometric equation on the interval [0, 2π) with the help of an identity.

2cos² x = 2 - 3 sin x

Solve the following trigonometric equation on the interval [0, 2π) with the help of an identity.

sin x - cos x = -1

Solve the following trigonometric equation on the interval [0, 2π) with the help of an identity.

tan x - sec x = -1