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Unformatted text preview: x 2 + y 2-4 x = 0 1.1 Curve Sketching Example 1.4. Trace the curve r = 1 + cos θ . Note that we only need to consider θ ∈ [0 , 2 π ) . Why? Example 1.5. Trace the curve r 2 = sin(2 θ ) . 1 Example 1.6. Determine the points of intersection of r = cos(2 θ ) and r = 1 + cos θ. Remark 1.1. In the polar coordinate system, the same point can be represented by very many diﬀerent pairs of polar co-ordinates. Some care is therefore required in ﬁnding intersections. Graphs can be very helpful for checking results. 2...
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- Winter '08
- Polar Coordinates, Coordinate system, Spherical coordinate system, Polar coordinate system, Coordinate systems, Cartesian coordinates