if-the-sides-a-b-c-of-a-triangle-ABC-are-in-A-P-and-if-sin-A-sin-B-sin-C-cos-sin-B-sin-C-sin-A-cos-sin-C-sin-A-sin-B-cos-then-find-the-value-of-tan-2-2-tan-2-2-

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}