Math help hurry!!!!?

Question

if theta is an angle in standard position, in which quadrant(s) can theta lie if -sin(theta) = cos(theta)

Answer 1

Quadrant I: both sin and cos are positive - X

Quadrant II: sin positive, cos negative: Yes

Quadrant III: both are negative - X

Quadrant IV: cos positive, sin negative: Yes

In each case, the angle is a multiple of 45° or pi/4

Quad II: 135° or 3pi/4

Quad IV: 225° or 7pi/4

(the other two angles are pi/4 and 5pi/4,

and for those sin(theta) = cos(theta))

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