Need help quickly please! Find the rectangular coordinates of the point with the polar coordinates. (3,2pi/3)

Question

Need help quickly please! Find the rectangular coordinates of the point with the polar coordinates.  (3,2pi/3)

sidsiddhartha · Answer

To convert a point in polar coordinates (r, theta), use the conversion to rectangular coordinates (x, y) 
where x = rcos(theta) and y = rsin(theta).

anonymous · Answer

I don't know how to do that... could you show me?

anonymous · Answer

i have answer choices if that helps?

sidsiddhartha · Answer

x = r * cos(theta) = 3 * cos(2pi/3)
 y = r * sin(theta) = 3* sin(2pi/3)

anonymous · Answer

oh ok, now what?

sidsiddhartha · Answer

x,y are the rectangular coordinates
just put the values of cos and sin

anonymous · Answer

that doesn't come to one of the options though

anonymous · Answer

(-3/2,3√3/2)
(3√3/2,-3/2)
(-3/2,3/2)
(3/2,-3/2)

sidsiddhartha · Answer

cos2pi/3=-1/2 and
sin 2pi/3=sqrt(3)/2
now can u do it?

sidsiddhartha · Answer

so what's ur answer?

anonymous · Answer

C?

sidsiddhartha · Answer

$$(-3/2,3\sqrt{3}/2)$$

anonymous · Answer

ohhhh ok thank you very much!

sidsiddhartha · Answer

np:)