Mathematics

Mathematics

Problem

If cos⁡θ=−32\cos \theta = -\dfrac{\sqrt{3}}{2} and 180∘<θ<360∘180^{\circ} < \theta < 360^{\circ}, answer the following: a. (a) Determine sin⁡θ\sin \theta. b. (b) Identify the quadrant in which θ\theta lies. c. (c) Find the smallest positive value of θ\theta (in degrees) that satisfies the given information.

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