Answer:
- 60, 240 degrees
- 1/3π, 4/3π radians
Explanation:
A reference angle is the smallest angle between a terminal ray and the x-axis. It will always be 90° or less. A reference angle of α will correspond to an actual angle of any of {α, 180°-α, 180°+α, 360°-α} in the range 0-360°.
Here, we're told the reference angle is 60°, and the tangent is positive. The tangent is positive in quadrants I and III, so the possible angles are ...
60°, 180°+60° = 240° . . . . . . possible angles in degrees
Multiplying the degree measure by π/180° gives the measure in radians.
π/3, 4π/3 . . . . . . . . . . . possible angles in radians