The ellipse is represented parametrically by

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

The ellipse is represented parametrically by x=4cos⁡θ,  y=3sin⁡θx=4\cos\theta,\; y=3\sin\theta. Determine all values of θ\theta in the interval 0≤θ≤2π0\le\theta\le2\pi for which the slope of the tangent is −3-\sqrt3.

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