In any triangle ABC,Show that

(i) 2[a sin²c/2 + c sin²A/2 ] = c - a - b

(ii)2[b cos2 C/2 + c cos2 B/2] = a+b+c

Question

In any triangle ABC,Show that

(i) 2[a sin2c/2 + c sin2A/2 ] = c - a -
b
(ii)2[b cos2 C/2 + c cos2 B/2] = a+b+c

Tushar Kohli · Accepted Answer

In any triangle ABC,Show that (i) 2[a sin2c/2 + c sin2A/2 ] = c - a - b (ii)2[b cos2 C/2 + c cos2 B/2] = a+b+c