4.49. Find the area bounded by the hypocycloid x²/3 + y²/3 = a²/3 shown shaded in Fig. 4-24. [Hint. Parametric equations are x = a cos³ 0, y = a sin³ 0,0 ≤ 0 <2m.]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
Question
4.49. Find the area bounded by the hypocycloid x²/3 + y²/3 =
a²/3 shown shaded in Fig. 4-24. [Hint. Parametric
equations are x = a cos³ 0, y = a sin³ 0,0 ≤ 0 < 2T.]
Transcribed Image Text:4.49. Find the area bounded by the hypocycloid x²/3 + y²/3 = a²/3 shown shaded in Fig. 4-24. [Hint. Parametric equations are x = a cos³ 0, y = a sin³ 0,0 ≤ 0 < 2T.]
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