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Tangents to polar curves

AP.CALC: FUN‑3 (EU), FUN‑3.G (LO), FUN‑3.G.1 (EK), FUN‑3.G.2 (EK)

Problem

Consider the polar curve r, equals, 2, cosine, left parenthesis, theta, right parenthesis for 0, is less than or equal to, theta, is less than, pi.
At which values of theta does the graph of r have a horizontal tangent line?
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