If tan 𝜃 = −1, determine the possible angle(s) for 𝜃.

Answer 1

the angle is in quadrant II or IV

reference angle = 45 degrees

angle = 360-45 = 315 or 180-45 = 135 degrees

the angle = 135 +180n degrees where n= any integer

or 3pi/4 + npi where n = any integer