Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 63E
Related questions
Question
Graph the polar equation: r = 12/(3 + 3 sin θ).
Expert Solution
Step 1
rewriting the equation by dividing the numerator and denominator by 3 we get
Step 2
here we can see that e = 1 so the graph will be in a parabola shape and the focus is at the origin.
The function has a sinθ term and there is an addition sign in the denominator, so the directrix is y=p.
4 = ep
4 = (1)p
4 = p
so, the directix will be y = 4
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