Question

Name a pair of angles of rotation with the same sine value in the same quadrant.

Answer 1

Because θ' is the reference angle of θ, both sin⁡(θ) and sin⁡(θ') have the same value. For example, 30° is the reference angle of 210°, and if we reference the unit circle, we can see that the sine values of both have a magnitude of 1/2, albeit they have different signs.