Advanced Question from Trigonometry

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What are limacons and cardioids?

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e59d2b2733fef74c3f5566604f3d6c78f4180b4b 18

Z8E6JGXnTfWKQ1hrgrSP limacon

3edefa31554a266bccba35dd1a405d5a9ebace8c 18

vw3GQ2nhSMCm0usb2iLs cardioid

n both cases:
0θ2π

………………………………………………………………………………………………………
I used Excel to plot the graphs and in both cases to obtain the values in the x and y columns you must remember the relationship between polar (first two columns) and rectangular (second two columns) coordinates:

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