Question

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

Answer 1

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).

Answer 2

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

Answer 3

i have answer choices if that helps?

Answer 4

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

Answer 5

oh ok, now what?

Answer 6

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

Answer 7

that doesn't come to one of the options though

Answer 8

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

Answer 9

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

Answer 10

so what's ur answer?

Answer 11

C?

Answer 12

\[(-3/2,3\sqrt{3}/2)\]

Answer 13

ohhhh ok thank you very much!

Answer 14

np:)