Question

8/10
which of the following is a correct representation of a point with a positive radius and a positive rotation?
$(-3, -5\pi/4)$
$(-3, 5\pi/4)$
$(3, 5\pi/4)$
$(3, -5\pi/4)$

Explanation:

Step1: Identify polar form structure

Polar coordinates are $(r, \theta)$, where $r$ = radius, $\theta$ = rotation.

Step2: Check positive radius

We need $r>0$, so eliminate $(-3, -5\pi/4)$ and $(-3, 5\pi/4)$.

Step3: Check positive rotation

We need $\theta>0$, so eliminate $(3, -5\pi/4)$.

Answer:

(3, 5π/4)