Convert to polar coordinates with r 2 0 and 0 s e < 2T. (-1, -/3) (r, e)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.7: Polar Coordinates
Problem 4ECP
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Photo attached. I already asked this question once and was given an incorrect answer. The answer is not (2,(pi/3))

Convert to polar coordinates with r 2 0 and 0 s e < 2T.
(-1, -/3)
(r, e)
Transcribed Image Text:Convert to polar coordinates with r 2 0 and 0 s e < 2T. (-1, -/3) (r, e)
Expert Solution
Step 1

Given,

(-1,-у3)
Step 2

Now,

-V3
Let r cos e = -1 and r sin 0 =
(-1)2(V3
S0, (r cos e)2+ (r sin 0)
r2 (cos20sin20) = 4
r2 (1) 4
r = 2
-V3
sin e
r sin e
4TT
TT
3 tan
And tan e
tan
COs e
r cos e
T 4TT
3
4TT
Since, 1,-3) is in third quadrant so 0
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