Answer
(a) Refer to the drawing of the given angle below.
(b) $\dfrac{\pi}{6}$ radians
(c) reference angle: $30^o$ or $\dfrac{\pi}{6}$ radians
Work Step by Step
(a) From the positive x-axis, move 30 degrees counter clockwise. (refer to the attached image above for the drawing)
(b) Convert to radians by multiplying $\dfrac{\pi}{180^o}$ to obtain:
$30^o \cdot \dfrac{\pi}{180^o} = \dfrac{\pi}{6}$ radians
(c) The angle is in Quadrant I. The reference angle of an angle in Quadrant I is itself. Thus, the reference angle of the given angle is $\color{blue}{30^o}$.
