please explain mathematically In Calc. 3 applications, polar coordinates always obey:(a) r = Vx2 + y² > 0(b) 0<0 <2т.tan (0) = y/x. Examine the Quadrants.If (x, y) = (-V3, 1) , then findr and 0.This must be in Quadrant II.r =+ 12 = V3 +1 = 21tan (0)/3)Normally, this would give us -7/6, but this in Quadrant IV.If we add 180°, we end up in Quad. II and 0 = 57/6.

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If (x, y) = (-V3, 1) , then find r and 0.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter8: Complex Numbers And Polarcoordinates

Section8.5: Polar Coordinates

Problem 86PS

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Question

please explain mathematically

In Calc. 3 applications, polar coordinates always obey:
(a) r = Vx2 + y² > 0
(b) 0<0 <2т.
tan (0) = y/x. Examine the Quadrants.
If (x, y) = (-V3, 1) , then findr and 0.
This must be in Quadrant II.
r =
+ 12 = V3 +1 = 2
1
tan (0)
/3)
Normally, this would give us -7/6, but this in Quadrant IV.
If we add 180°, we end up in Quad. II and 0 = 57/6.

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