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Trigonometryhard
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If α\alphaα and β\betaβ are acute angles such that sin⁡(α)=5/13\sin(\alpha) = 5/13sin(α)=5/13 and sin⁡(β)=4/5\sin(\beta) = 4/5sin(β)=4/5, what is cos⁡(α+β)\cos(\alpha + \beta)cos(α+β)?