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What's on the worksheet
- Decide whether each equation is a limaçon.r = 8 - 3\cos\thetar = 5 + 5\sin\thetar = -4 + 7\cos\thetar = 3 + 2\cos 2\thetar = 2(5 + 3\sin\theta)
- Find every point where the graph of r = 3 - 7θ meets the x-axis or the y-axis.
- Mei studies r = √(3) - 2θ.
- Take r = a + bθ with 0 < a < b.
- A B C D The four curves A to D are drawn at the same scale, each about its own pole.
- Sketch r = 3 - 5θ on the polar grid.
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The free lesson teaches it with worked examples and practice problems.
Limacons and cardioids: the lesson ›More Chapter 9 worksheets: Polar coordinates and complex numbers in polar form
- 9.1Adding, subtracting and multiplying complex numbers
- 9.2Plotting polar points
- 9.3Converting between polar and rectangular
- 9.4Converting an equation between the two systems
- 9.5Polar circles and symmetry tests
- 9.6Limacons and cardioids
- 9.7Rose curves
- 9.8The complex plane, modulus and argument
- 9.9Modulus, argument and polar form
- 9.10Multiplying, powers and De Moivre's theorem
- 9.11Roots of a complex number and roots of unity