If the points

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

If the points (−2,0)(-2,0), (−1,13)\left(-1, \frac{1}{\sqrt{3}}\right) and (cos⁡θ,sin⁡θ)(\cos \theta, \sin \theta) are collinear, then the number of values of θ∈[0,2π]\theta \in [0, 2\pi] is

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