Mathematics, 27.07.2019 00:00 BlueDiamond4820
Verify the identity. show your work. cos(α - β) - cos(α + β) = 2 sin α sin β
Answers: 1
![\bf {cos(\alpha - \beta)-cos(\alpha+\beta)}=2sin(\alpha)sin(\beta) \\\\\\ \stackrel{\textit{left-hand-side}}{[cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)]-[cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)]} \\\\\\ \underline{cos(\alpha)cos(\beta)} + sin(\alpha)sin(\beta)-\underline{cos(\alpha)cos(\beta)} + sin(\alpha)sin(\beta) \\\\\\ sin(\alpha)sin(\beta)+ sin(\alpha)sin(\beta)\implies 2 sin(\alpha)sin(\beta)](/tpl/images/0136/7804/c52c2.png)
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Verify the identity. show your work. cos(α - β) - cos(α + β) = 2 sin α sin β...
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