Answer:
[tex] x = -3 cos (\frac{\pi}{2})= 0[/tex]
[tex] y = -3 sin (\frac{\pi}{2})= -3[/tex]
And then the rectangular coordinates for this case are :
[tex] (x = 0 , y = -3)[/tex]
Step-by-step explanation:
We have the following point given [tex] P = (-3, \frac{\pi}{2})[/tex] and we want to conver from polar to rectangular coordinates and we need to use the following formulas:
[tex] x = r cos \theta[/tex]
[tex] y = r sin \theta[/tex]
For this case we have that:
[tex] r = -3[/tex]
And:
[tex]\theta = \frac{\pi}{2}[/tex]
Replacing we got:
[tex] x = -3 cos (\frac{\pi}{2})= 0[/tex]
[tex] y = -3 sin (\frac{\pi}{2})= -3[/tex]
And then the rectangular coordinates for this case are :
[tex] (x = 0 , y = -3)[/tex]
