Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

  
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,267 questions

17,801 answers

1,438 comments

34,095 users

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

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

1 Answer

0 votes

Step 1:

The rectangular point is image.

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

image  and image.

Here image.

Substitute image in image.

image

Substitute image in image.

image

image is negative in second and fourth quadrants.

image and image.

image and image.

Two pairs of polar coordinates of the point image are  image and image.

Step 2:

The polar coordinates: .

.

Polar coordinates image.

Substitute the values of image in .

.

Substitute the values of image in .

image.

image.

Solution:

Two pairs of polar coordinates of the point image and image.

Rectangular coordinates: image.

answered Jun 28, 2016 by Anney Mentor

Related questions

...