Theory of Intelligence
11TH•Mathematics•Trigonometric Identities•Question 6

(ii)

Show that:

(ii)

sin⁡2α+sin⁡2β+cos⁡2(α+β)+2sin⁡αsin⁡βcos⁡(α+β)=1\sin^2\alpha + \sin^2\beta + \cos^2(\alpha + \beta) + 2\sin\alpha\sin\beta\cos(\alpha + \beta) = 1

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