For an acute angle

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

For an acute angle θ\theta, it is given that sin⁡θ=32\sin \theta = \dfrac{\sqrt3}{2}. (a) Determine the measure of θ\theta. (b) Find cos⁡(90∘−θ)\cos\left(90^\circ - \theta\right). (c) Using the value of θ\theta obtained in part (i), evaluate tan⁡θ\tan \theta.

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