Prove that- cos- -cos- 2 - sin- -sin- 2 -4cos 2 - - -2

LHS =2( cosα #160; cosβ #160; +sinα #160; sinβ #160; #160; ) =2( 1+cos( α β #160; ) #160; #160; ) =2.2cos ^ 2 α β #160; 2 ...

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AM,GM,HM Inequality

Prove that: ...

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Prove that: ${(cos α + cos β)}^{2} + {(sin α + sin β)}^{2} = 4 {cos}^{2} {(α - β) / 2}$

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{(cos α - cos β)}^{2} + {(sin α - sin β)}^{2} = 4 {sin}^{2} {(α - β) / 2}

{(cos α + cos β)}^{2} + {(sin α + sin β)}^{2} = λ {cos}^{2} \frac{(α - β)}{2}

λ

{(cos α + cos β)}^{2} + {(sin α + sin β)}^{2} = b {cos}^{2} (\frac{α - β}{2})

(cos α + cos β)^{2} + (sin α + sin β)^{2} =

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{(cos α + cos β)}^{2} + {(sin α + sin β)}^{2} = . . . . . . . . .

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