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Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°.

related to an answer for: Find the rectangular coordinates of the point with the polar coordinates (1, 1 divided by 2 pi)

asked Jun 27, 2016 in PRECALCULUS by anonymous
reshown Jun 28, 2016 by goushi

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1 Answer

Step 1:

The rectangular point is .

If is a point rectangular coordinates then, polar coordinates are defined as

and .

Here .

Substitute in .

Substitute in .

is negative in second and fourth quadrants.

and .

and .

Two pairs of polar coordinates of the point are and .

Step 2:

The polar coordinates: .

.

Polar coordinates .

Substitute the values of in .

.

Substitute the values of in .

.

.

Solution:

Two pairs of polar coordinates of the point and .

Rectangular coordinates: .

answered Jun 28, 2016 by Anney Mentor

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