Can you go through the steps for this problem?

Question

This is a problem really similar to our HW, I just need to know how to do them in order to do my HW!) Thanks.

{Give answer to nearest hundreth.}

Sin x + Cos x = 0

Answer 1

sinx + cosx = 0
Subtract cosx from both sides: sinx = -cosx
Divide both sides by cosx: tanx = -1
x = arctan(-1)
x = -45 degrees = -0.79 radians.

Answer 2

sin(x) + cos(x) = 0
sin(x) = -cos(x)
sin(x)/cos(x) = -1
tan(x) = -1
x = arctan(-1) = pi/4 = 0.79