Question

9/10
if a point is represented as $(2, -5\pi/6)$, what is its equivalent with a positive rotation?
$(2, 7\pi/6)$
$(2, \pi/6)$
$(2, 11\pi/6)$
$(2, 5\pi/6)$

Explanation:

Step1: Add $2\pi$ to negative angle

$\frac{-5\pi}{6} + 2\pi = \frac{-5\pi}{6} + \frac{12\pi}{6}$

Step2: Calculate positive equivalent angle

$\frac{-5\pi + 12\pi}{6} = \frac{7\pi}{6}$

Step3: Keep radius unchanged

Radius $r=2$ remains the same.

Answer:

A. $(2, 7\pi/6)$