if the sides a,b,c of a triangle ABC are in A.P. and if sin A =(sin B +sin C)cos α sin B =(sin C+sin A)cos β sin C =(sin A +sin B)cos γ then find the value of tan^2 (α/2)+tan^2 (γ/2)


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Question Number 146877 by gsk2684 last updated on 16/Jul/21

$i f t h e s i d e s a, b, c o f a t r i a n g l e A B C$ $a r e i n A . P . a n d i f$ $\sin A = (\sin B + \sin C) \cos α$ $\sin B = (\sin C + \sin A) \cos β$ $\sin C = (\sin A + \sin B) \cos γ$ $t h e n f i n d t h e v a l u e o f$ $\tan^{2} \frac{α}{2} + \tan^{2} \frac{γ}{2}$
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