Evaluate the following: \frac{\cos ⁡2\theta .\cos ⁡3\theta −\cos ⁡2\theta .\cos ⁡7\theta + \cos ⁡\theta .\cos ⁡10\theta }{ \sin ⁡4\theta . \sin ⁡3\theta − \sin ⁡2\theta . \sin ⁡5\theta + \sin ⁡4\theta . \sin ⁡7\theta }

Correct Answer is : −cot 6θ⋅cot 5θ

Delhi Police Head Constable 10 Oct 2022 Shift 2

Question : 34 of 100

Marks: +1, -0

Evaluate the following:

\;{\cos\;⁡2θ\;.\cos\;⁡3θ\;−\cos\;⁡2θ\;.\cos\;⁡7θ\;\;+\;\cos\;⁡θ\;.\cos\;⁡10θ\;}/{\ sin\;⁡4θ\;.\ sin\;⁡3θ\;−\ sin\;⁡2θ\;.\ sin\;⁡5θ\;\;+\;\ sin\;⁡4θ\;.\ sin\;⁡7θ\;}

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