How do you find the polar coordinates of the point with rectangular coordinates ( −...

ttyme411gl

ttyme411gl

Answered

2022-07-01

How do you find the polar coordinates of the point with rectangular coordinates ( 2 ,   2 ) ?

Answer & Explanation

escampetaq5

escampetaq5

Expert

2022-07-02Added 12 answers

Step 1
The rectangular coordinates ( x , y ) = ( - 2 , 2 ) are ( r , θ ) = ( 2 2 , 3 π 4 ) in polar coordinates.
Since r is the distance of the point from the origin,
r - x 2 + y 2 = ( - 2 ) 2 + 2 2 = 8 = 2 2
Since the positive x-axis and the segment connecting the origin and the point make
135 = 3 π 4 rad.
θ = 3 π 4

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