Mathematics

Mathematics

Problem

Explain why dividing both sides of the equation sin⁡2θ=3cos⁡θ\sin 2\theta = \sqrt{3}\cos \theta by cos⁡θ\cos \theta requires separate consideration of the case cos⁡θ=0\cos \theta = 0. List the values of θ\theta in the interval 0≤θ<2π0 \le \theta < 2\pi for which cos⁡θ=0\cos \theta = 0.

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