Answer:
(-3, -3√3)
Explanation:
To convert from polar coordinate to rectangular coordinate, first you have to know these two equations:
[tex]\displaystyle{x=r\cos \theta}\\\displaystyle{y=r\sin \theta}[/tex]
We know that (x,y) is in rectangular coordinate form while (r,θ) is in polar coordinate form.
Therefore, substitute r = 6 and θ = 240° in both equations:
[tex]\displaystyle{x=6\cos 240^{\circ}}\\\displaystyle{y=6\sin 240^{\circ}}[/tex]
After evaluating, you'll get:
[tex]\displaystyle{x=-3}\\\displaystye{y=-3\sqrt{3}}[/tex]
Therefore, substitute x and y in rectangular coordinate form - hence, the answer is (-3, -3√3)
