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## Homework Statement

sinx + cosx = 0

## Homework Equations

N/A

## The Attempt at a Solution

sinx + cosx = 0

sinx = -cosx

sinx = (+/-) sqrt(sin^2x - 1)

(sinx)^2 = (+/-) sqrt(sin^2x - 1)^2

sinx = sin^2x - 1

Not really too sure what to do from here on.

The answer is 3[tex]\pi[/tex]/4 and 7[tex]\pi[/tex]/4.

I appreciate the help, thanks in advance.