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## Homework Statement

Solve the following equations of inequalities in the interval [0, 2pi)

cosx + 1 = sinx

## Homework Equations

## The Attempt at a Solution

cos

^{2}x + 2cosx + 1 = sin

^{2}x

cos

^{2}x + 2cosx + 1 = 1 - cos

^{2}x

2cos

^{2}x + 2cosx = 0

(2cosx)(cosx + 1) = 0

2cosx = 0 or cosx + 1 = 0

2cosx = 0

cosx = 0

x = pi/2, 3pi/2

cosx + 1 = 0

cosx = -1

x = pi

Did I miss anything?