Problem

Problem

If α,β,γ\alpha, \beta, \gamma are acute angles and cos⁡θ=sin⁡β/sin⁡α\cos \theta = \sin \beta / \sin \alpha , cos⁡ϕ=sin⁡γ/sin⁡α\cos \phi = \sin \gamma / \sin \alpha and cos⁡(θ−ϕ)=sin⁡βsin⁡γ\cos(\theta - \phi) = \sin \beta \sin \gamma , then the value of tan⁡2α−tan⁡2β−tan⁡2γ\tan^2 \alpha - \tan^2 \beta - \tan^2 \gamma is equal to a. -1 b. 0 c. 1 d. 2

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