Graph several members of the family of curves with parametric equations x = t + a cos(t), y=t+a sin(t), where a > 0. How does the shape change as a increases? As a increases the curves start having loops. The size of these loops increase with larger values of a. For what values of a does the curve have a loop? (Round your values to one decimal place. Enter your answer using interval notation.)
Graph several members of the family of curves with parametric equations x = t + a cos(t), y=t+a sin(t), where a > 0. How does the shape change as a increases? As a increases the curves start having loops. The size of these loops increase with larger values of a. For what values of a does the curve have a loop? (Round your values to one decimal place. Enter your answer using interval notation.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
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