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Back to 10.4 Polar Coordinates: Graphs

10.4 Exercise 77

Avg difficulty 2.5

Use a graphing utility to graph each pair of polar equations on a domain of [ 0,4π ] \left[0 , 4 \pi\right] and then explain the differences shown in the graphs.

On a graphing utility, graph each polar equation. Explain the similarities and differences you observe in the graphs.

r 1 =3sin(3θ) r 2 =2sin(3θ) r 3 =sin(3θ) \begin{matrix}r_{1} = 3 \sin \left(3 \theta\right) \\ r_{2} = 2 \sin \left(3 \theta\right) \\ r_{3} = \sin \left(3 \theta\right)\end{matrix}

OpenStax Algebra and Trigonometry 2e, 10.4 Polar Coordinates: Graphs, exercise 77

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.