Theory of Intelligence
11TH•Mathematics•Trigonometric Identities•Question 7

(iv)

Show that:

(iv)

tan⁡α+tan⁡βtan⁡α−tan⁡β=sin⁡(α+β)sin⁡(α−β)\dfrac{\tan\alpha + \tan\beta}{\tan\alpha - \tan\beta} = \dfrac{\sin(\alpha + \beta)}{\sin(\alpha - \beta)}

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