a , b , c are the sides of a scalene triangle ABC. If angles α , β , γ lie between 0 and π such that cos α = a/{b+c} , cos β = b/{c+a} and cos γ = c/{a+b} , then \tan^2 \alpha^2 + \tan^2 \beta/2+\tan^2 \gamma/2 =

AP EAMCET Engineering 23 Apr 2019 Shift 1 Paper

Section: Mathematics

Question : 27 of 160

Marks: +1, -0

a , b , c are the sides of a scalene triangle ABC. If angles α , β , γ lie between 0 and π such that cos α =

b+c

, cos β =

c+a

and cos γ =

a+b

, then tan2α2+tan2

+tan2

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