Question

10/10
what is the equivalent positive rotation for a point with a negative rotation of $-\frac{7\pi}{4}$?
$\frac{5\pi}{4}$
$\frac{7\pi}{4}$
$\frac{\pi}{4}$
$\frac{3\pi}{4}$

Explanation:

Step1: Add full rotation ($2\pi$)

$-\frac{7\pi}{4} + 2\pi = -\frac{7\pi}{4} + \frac{8\pi}{4}$

Step2: Simplify the expression

$\frac{-7\pi + 8\pi}{4} = \frac{\pi}{4}$

Answer:

$\boldsymbol{\frac{\pi}{4}}$ (Option: $\pi/4$)