Theory of Intelligence
11TH•Mathematics•Trigonometric Identities•Question 3

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Prove that:

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1−tan⁡θtan⁡ϕ1+tan⁡θtan⁡ϕ=cos⁡(θ+ϕ)cos⁡(θ−ϕ)\dfrac{1 - \tan\theta \tan\phi}{1 + \tan\theta \tan\phi} = \dfrac{\cos(\theta + \phi)}{\cos(\theta - \phi)}

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