Polar coordinates of a point are given. Find therectangular coordinates of the point. (-3,-135^(circ))

Lilliana Livingston 2022-07-27 Answered
Polar coordinates of a point are given. Find therectangular coordinates of the point. ( 3 , 135 )
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Answers (2)

sviudes7w
Answered 2022-07-28 Author has 12 answers
That's not what I got.... I figured that since we're working with apoint in quadrant III, then the reference angle is 45 degrees,making it a 1 1 2 triangle.
Since cos ( 45 ) = x 3 , then x = 3 cos ( 45 ) = 3 2
By the same means, y equals the same value (since sin 45 and cos 45 are equal)
So the point is ( 3 2 , 3 2 )
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Cristofer Graves
Answered 2022-07-29 Author has 6 answers
Given the polar coordinates: (r, θ) = (-3, -135degrees)
Convert degrees to radians: (r, θ) = (-3, -3 π/4radians)
Use the following conversion:
x = r cos θ
x = 3 cos ( 3 π / 4 )
x = 3 1 2 2 = 3 2 2
y = r sin θ
y = 3 sin ( 3 π / 4 )
y = 3 1 2 2 = 3 2 2
Rectangular Coordinates are ( x , y ) ( 3 2 2 , 3 2 2 )
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