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Solved: Lissajous curves Consider the following Lissajous
Chapter 8, Problem 78E(choose chapter or problem)
Consider the following Lissajous curves. Find all points on the curve at which there is (a) a horizontal tangent line and (b) a vertical tangent line. (See the Guided Projects for more on Lissajous curves.)
x = sin 4t, y = sin 3t;
\(0\ \leq\ t\ \leq\ 2\pi\)
Questions & Answers
QUESTION:
Consider the following Lissajous curves. Find all points on the curve at which there is (a) a horizontal tangent line and (b) a vertical tangent line. (See the Guided Projects for more on Lissajous curves.)
x = sin 4t, y = sin 3t;
\(0\ \leq\ t\ \leq\ 2\pi\)
ANSWER:
Solution 78EStep 1:We have to find all points on the curve at which there is (a) a horizontal tangent line and (b) a vertical tangent line. A parametric curve has a horizontal tangent line when A parametric curve has a vertical tangent line when Given x = sin 4t, y = sin 3t; 0 t 2