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Answer:
[tex]({\frac{-9\sqrt{3} }{2}, 9/2) }[/tex]
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:
[tex]({\frac{-9\sqrt{3} }{2}, 9/2) }[/tex]
