Whare are the possible values

Question

If 0^o ≤ θ ≤ 360^o, what are all the possible values of angle θ for the following?

a) sin(θ) = -1/√(2) b.) tan(θ) = √(3)

Answer 1

a) theta = 225 or 315 degrees

reference angle = 45, and because sine <0, it's in 3rd or 4th quadrant

180+45 =225

360-45 = 315

b) theta = 60 or 240 degrees

reference angle = 60 tangents are positive in 1st or 3rd quadrants

180+60 = 240