Find the slope of the tangent line to the given polar curve at the point specified by the value of $\theta$. $r = 4 \cos(\theta)$, $\theta = \frac{\pi}{3}$
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To convert the polar equation r = 4 cos(0) to Cartesian coordinates, we can use the following formulas: x = r cos(θ) y = r sin(θ) In this case, r = 4 cos(0), so we have: x = 4 cos(0) cos(θ) y = 4 cos(0) sin(θ) Since cos(0) = 1, we can simplify the equations Show more…
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