Solve the following, where 0° < 𝜃 < 360°. Find 𝜃 where tan 𝜃 = tan 265° and 𝜃 ≠ 265°.

Question

Bit confused about this, any help would be great!

Answer 1

 tan 𝜃 = tan 265°

tanθ = 11.43

θ=85°

Answer 2

265 degrees is in 3rd quadrant where tangent is positive.

tangent is also positive in 1st quadrant

tan(265) = tan(265-180) = tan(85)

so theta = 85.