Change to Polar Coordinates (De Moivre's Theorem)
Algebra
Level
3
Change the rectangular coordinates Q (- 3, 0) to polar coordinates.
Q (3, 0°)
Q (3, 180°)
Q (3, 90°)
Q(5, 90°)
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1 solution
Solution: x = - 3, y = 0 [Rectangular coordinates are Q (x, y).] r = x2+y2 = (- 3)2+02 = 3 [Substitute x = - 3 and y = 0.]
Sin θ = yr = 0 / 3 = 0 [Substitute y = 0, r = 3.]
θ = 180° [Q lies on negative x-axis.] The polar coordinates are Q (3, 180°)