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Section 9.7 : Tangents with Polar Coordinates

1. Find the tangent line to \(r = \theta \sin \left( {3\theta } \right)\) at \(\displaystyle \theta = \frac{\pi }{2}\).
2. Find the tangent line to \(r = \cos \left( {2\theta } \right) - \sin \left( \theta \right)\) at \(\displaystyle \theta = - \frac{\pi }{4}\).
3. Find the tangent line to \(r = \cos \left( {{\theta ^2} - \theta } \right)\) at \(\theta = \pi \) .