Question

Find the rectangular coordinates of the point ( -3, 1/2 π)

Answer 1

Answer:

$x = -3 cos (\frac{\pi}{2})= 0$

$y = -3 sin (\frac{\pi}{2})= -3$

And then the rectangular coordinates for this case are :

$(x = 0 , y = -3)$

Step-by-step explanation:

We have the following point given $P = (-3, \frac{\pi}{2})$ and we want to conver from polar to rectangular coordinates and we need to use the following formulas:

$x = r cos \theta$

$y = r sin \theta$

For this case we have that:

$r = -3$

And:

$\theta = \frac{\pi}{2}$

Replacing we got:

$x = -3 cos (\frac{\pi}{2})= 0$

$y = -3 sin (\frac{\pi}{2})= -3$

And then the rectangular coordinates for this case are :

$(x = 0 , y = -3)$