Let and denote the statements If

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Let AA and BB denote the statements A:cos⁡α+cos⁡β+cos⁡γ=0A: \cos \alpha + \cos \beta + \cos \gamma = 0 B:sin⁡α+sin⁡β+sin⁡γ=0B: \sin \alpha + \sin \beta + \sin \gamma = 0 If cos⁡(β−γ)+cos⁡(γ−α)+cos⁡(α−β)=−32\cos(\beta - \gamma) + \cos(\gamma - \alpha) + \cos(\alpha - \beta) = -\frac{3}{2} , then (1) AA is true and BB is false (2) AA is false and BB is true (3) Both AA and BB are true (4) Both AA and BB are false

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