If , then show that…

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If α+β+γ=2π\alpha + \beta + \gamma = 2\pi , then show that tan⁡α2+tan⁡β2+tan⁡γ2=tan⁡α2tan⁡β2tan⁡γ2\tan \frac{\alpha}{2} + \tan \frac{\beta}{2} + \tan \frac{\gamma}{2} = \tan \frac{\alpha}{2} \tan \frac{\beta}{2} \tan \frac{\gamma}{2} .

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