To test whether a polar graph is symmetric about the -axis

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

To test whether a polar graph r=f(θ)r=f(\theta) is symmetric about the xx-axis, which substitution should be made, with the requirement that the resulting expression be unchanged? (a) Replace θ\theta with θ+π\theta+\pi (b) Replace θ\theta with −θ-\theta (c) Replace θ\theta with π−θ\pi-\theta (d) Replace rr with −r-r while keeping θ\theta unchanged

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