Let α and β be non zero real numbers such that 2(\cos\beta-\cos\alpha)+\cos\alphacos\beta=1 Then which of the following is/are true ? [JEE Adv 2017 P2]

\sqrt3tan(\alpha/2)+\tan(\beta/2)=0

\sqrt3tan(\alpha/2)-\tan(\beta/2)=0

\tan(\alpha/2)+\sqrt3tan(\beta/2)=0

\tan(\alpha/2)-\sqrt3tan(\beta/2)=0

Trigonometric Functions & Equations

Section: Mathematics

Question : 12 of 30

Marks: +1, -0

Let α and β be non zero real numbers such that 2(cosβ−cosα)+cosαcosβ=1 Then which of the following is/are true ?

[JEE Adv 2017 P2]

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