Test the polar equation for symmetry with respect to the pole, the polar axis, and the line
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Test the polar equation for symmetry with respect to the pole, the polar axis, and the line θ = π/2.
r = 5sin θ cos2 θ
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r 5 sin cos0 The polar axis Replace with 0 r 5 sin0 cos 0 r 5sin cos0 r 5 sin cos0 Since the resulting equation is the not same as the original the graph may or may not be symmetrical with respect to the polar axis The line 8 Replace with 0 r 5 sin0 cos 0 r 5sin cos cos sin cos 1sincos0 r 50 cos 0 r 5 ...View the full answer
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