Question

Polar coordinates of a point are given (4, 90^circ). Find the rectangular coordinates of each point.

Polar coordinates of a point are given \((4, 90^\circ)\). Find the rectangular coordinates of each point.

Answers (1)

2021-03-02
Given polar coordinates,
\((4, 90^{\circ})\)
To find the rectangular coordinates of the point.
We have,
\((r, \theta) = (4, 90^{\circ})\)
Conversion formula :
If \((r, \theta)\)are polar coordinates and (x, y) are rectangular coordinates,
Then \(x = r cos \theta, y = r sin \theta\)
\(x = 4 cos(90^\circ) = 0\)
\(y = 4 sin(90^\circ) = 4(1) = 4\)
So the rectangular coordinates is (0, 4)
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