If for an acute angle

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

If cot⁡θ=2\cot\theta=2 for an acute angle θ\theta, evaluate csc⁡θ−cot⁡θ\csc\theta-\cot\theta. (a) 5−42\dfrac{\sqrt{5}-4}{2} (b) 2−52-\sqrt{5} (c) 5−2\sqrt{5}-2 (d) 25−12\dfrac{2\sqrt{5}-1}{2}

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