Simplify and express your answer as a single trigonometric ratio.

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Simplify sin⁡θ−sin⁡3θcos⁡θ−cos⁡3θ\dfrac{\sin\theta-\sin^3\theta}{\cos\theta-\cos^3\theta} and express your answer as a single trigonometric ratio.

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