Find all solutions in the interval 0° ≤ 𝜃 < 360°. If rounding is necessary, round to the nearest tenth of a degree.

Question

tan 𝜃 + 1 = 0

Answer 1

tanx + 1 = 0

tanx = -1

occurs when sinx and cosx are equal and opposite sign

that occurs in 1st and 4th quadrants when reference angle is 45 degree

in 1st quadrant x would be 45 degrees and in 4th quadrant x would be 315 degrees