Tangents of polar curves

Intros
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Lessons
  1. Tangents of Polar Curves Overview
Examples
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Lessons
  1. Finding the Derivative
    Find dydx\frac{dy}{dx} for each of the following polar equations:
    1. r=sin⁡θ+θr=\sin \theta + \theta
    2. r=sin⁡θcos⁡θ r= \frac{\sin \theta}{\cos \theta}
  2. Finding the Tangent Line
    Find the tangent line with the following polar curves at the specified point:
    r=sin⁡(3θ)r=\sin (3\theta) at θ=π4\theta = \frac{\pi}{4}
  3. Finding the Tangent Line
    Find the tangent line with the following polar curves at the specified point:
    r=θcos⁡θ r=\theta \cos \theta at θ=0\theta =0