Question

URGENT!!! Find the rectangular coordinates of the point with the polar coordinates.

Answer 1

we have that

(r, ∅)----------> (-7, 5 pi/3)

we know that

5 pi/3--------> 300°-----------> -60°

To convert polar cordinates in rectangular one with use the following formula:

x=r*cos ∅------> x=-7*cos -60°-------> x=-7*(1/2)------> x=-7/2

y=r*sin ∅-------> y=-7*sin -60------->  y=-7*(-√3)/2----> y=7√3/2

the answer is the option

D) ordered pair negative 7 divided by 2 comma 7 square root 3 divided by 2