Question

how do you change the following point into rectangular form (-2, 5pi/3)
A. (-1, sqrt3)
B. (-2, -sqrt3/2)
C. (-2, sqrt3)
D. none of the above

Answer 1

This is in polar (r,ø) form.
To convert from polar to rectangular, use the formulas:
\[x = r\cos(\theta) \\ y = r\sin(\theta)\]

Answer 2

In the expression, (-2, 5pi/3)
-2 is r
5pi/3 is theta
you have formula to convert it to rectangular form, those are
x = r cos theta
y = r sin theta.
apply and show me your work