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Question

For a concert, a circular stage is constructed and placed in the center so fans can completely surround the musicians. To record the sound of the crowd, two directional microphones are placed next to each other on the stage, one facing due east and the other facing due west. The patterns of the microphones can be represented by the polar equations $r=2.5+2.5 \cos \theta$ and $r=-2.5-2.5 \cos \theta.$ Sketch the graph of each microphone pattern on the same polar grid.

Solution

VerifiedStep 1

1 of 2Graph of $\color{#4257b2}r=-2.5-2.5\cos(\theta)$ and $\color{#c34632}2.5+2.5\cos(\theta)$

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