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- Give the name of each point with r > 0 and 0 ≤ θ < 2π (or 0^ ≤ θ < 360^ when the angle is in degrees), and say which quadrant it lies in, or where…\left(3, -\dfrac{7\pi}{4}\right)\left(-5, \dfrac{5\pi}{6}\right)\left(2, \dfrac{17\pi}{6}\right)\left(-1.5, -\dfrac{2\pi}{3}\right)\left(-4, \dfrac{5\pi}{2}\right)
- 0 \frac{\pi}{6} \frac{\pi}{3} \frac{\pi}{2} \frac{2\pi}{3} \frac{5\pi}{6} \pi \frac{7\pi}{6} \frac{4\pi}{3} \frac{3\pi}{2} \frac{5\pi}{3}…
- The eight names below name only three different points.
- Consider the point (-2, 3π4).
- The names (a, π5) and (-4, b) are the same point, and 2π ≤ b < 4π.
- A swing bridge turns on a pier in the middle of a canal.
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The free lesson teaches it with worked examples and practice problems.
Plotting polar points: 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