Question

Find all polar coordinates of point p where p = (6, -pi/5)

Answer 1

Given a point in coordinates form $(r,\theta)$, one can compute the cartesian form like this:
$(r\cos\theta,r\sin\theta )$
We have:
$r=6,\theta=-\dfrac{\pi}{5}$
We get the cartesian form then:
$\left(6\cos-\dfrac{\pi}{5},6\sin-\dfrac{\pi}{5}\right)$