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Let α and β be non–zero real numbers such that 2(cos β – cos α ) + cos α cos β = 1. Then which of the following is/are true? Let α and β be non–zero real numbers such that 2(cosβ – cosα) + cosα cosβ = 1. Then which of the following is/are true?
2(cosb-cosa)+cosa.cosb=12cosb-2cosa+cosa.cosb=1cosb(2+cosa)-(2cosa+1)=0Now converting now equating cosa and cosb inwe getAfter applying Componendo and dividendo method each side we get:After solving this we get:After cross multiplying we get:Square root both side:hence the answers are:-1.2.
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