009C Sample Final 1, Problem 10

A curve is given in polar parametrically by

$x(t)=3\sin t$

$y(t)=4\cos t$

$0\leq t\leq 2\pi$

(a) Sketch the curve.

(b) Compute the equation of the tangent line at   $t_{0}={\frac {\pi }{4}}$.

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Solution

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