Find the rectangular coordinates of the point with the polar coordinates ordered pair negative 7 comma 5 pi divided by 3 . (1 point)

The correct answer is C. ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2

(r,θ) = (x,y)

x = r * cosθ

y = r * sinθ

Since your θ is 5π3, set your calculator to radians before taking the sine and cosine.

(3 cos 5π / 3, 3 sin 5π / 3) 

(3* 1 / 2, 3 * - sqrt(3) / 2)

(3 / 2, −3 sqrt (3) / 2)

if r = -3, then x is negative, y is positive.

Here are the following choices:

A. ordered pair negative 3 divided by 2 comma 3 divided by 2

B. ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2

C. ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2

D. ordered pair 3 divided by 2 comma negative 3 divided by 2

step-by-step explanation:

4227473658779875563886538705958641728563470543621287463824132573847969p05749365273847906970680574936214

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)