Answer
(a) Refer to the image below for the drawing...
(b) $\dfrac{17}{9}\pi$ radians
(c) Reference angle = $20^o$ or $\dfrac{\pi}{9}$ radians
Work Step by Step
(a) From the positive x-axis, move 340 degrees counter clockwise. (refer to the attached image above for the drawing)
(b) Convert to radians by multiplying $\dfrac{\pi}{180^o}$ to obtain:
$340^o \cdot \dfrac{\pi}{180^o} = \dfrac{17}{9}\pi$ radians
(c) The angle is in Quadrant IV. The reference angle of an angle $\theta$ in Quadrant IV can be found using the formula
$=360^o-\theta$.
Thus, the reference angle of the given angle is:
$360^0-340^0 = \color{blue}{20^o}
\\=20^o \cdot \dfrac{\pi}{180^o}=\color{blue}{\dfrac{\pi}{9}}$ radians.
