Theory of Intelligence
11TH•Mathematics•Trigonometric Identities•Question 4

(ii)

Prove that:

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(ii)

sin⁡2(π+θ)tan⁡(3π2+θ)cot⁡2(3π2−θ)cos⁡2(π−θ)cosec⁡(2π−θ)=cos⁡θ\dfrac{\sin^2(\pi + \theta)\tan\left(\dfrac{3\pi}{2} + \theta\right)}{\cot^2\left(\dfrac{3\pi}{2} - \theta\right)\cos^2(\pi - \theta)\operatorname{cosec}(2\pi - \theta)} = \cos\theta

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