If and , then the value of…

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If sin⁡θ=12\sin\theta=\dfrac{1}{2} and 0<θ<π0<\theta<\pi, then the value of cos⁡(θ−π2)\cos\left(\theta-\dfrac{\pi}{2}\right) is (a) −12-\dfrac{1}{2} (b) 00 (c) 12\dfrac{1}{2} (d) 32\dfrac{\sqrt{3}}{2}

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