Question

I NEED HELP PLEASE, THANKS! :)

Answer 1

Hey there! :)

Answer:

$({\frac{-9\sqrt{3} }{2}, 9/2) }$

Step-by-step explanation:

In rectangular coordinates, the form is:

(r·cosθ, r·sinθ)

In this instance:

Polar coordinates: (9, 150°). Use the coordinates above to solve for the rectangular coordinates.

(r · cos 150°, r· sin 150°)

(9 · cos 150°, 9· sin 150°)

cos 150° = -√3/2

sin 150° = 1/2

Plug these values into the equation:

(9 · (-√3/2), 9 · 1/2)

Multiply and simplify:

(-9√3/2, 9/2)

Therefore, the coordinates in rectangular form are:

$({\frac{-9\sqrt{3} }{2}, 9/2) }$