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

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

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.4: Parametric Equations And Further Graphing
Problem 14PS
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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.
Transcribed Image Text: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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