Solve for all in the interval for which

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Solve for all θ\theta in the interval 0∘≤θ<360∘0^{\circ}\le \theta<360^{\circ} for which tan⁡θ=3\tan \theta = \sqrt{3}. For each value of θ\theta, write the corresponding coordinates (cos⁡θ, sin⁡θ)(\cos \theta,\,\sin \theta).

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