सिध्द कीजिए कि किसी `Delta ABC` में
`2(a sin^(2) .(C)/(2) + c sin^(2).(A)/(2)) = a + c-b`

Explanation

बायाँ पक्ष `= 2 (sin^(2).(C)/(2)+ c sin^(2).(A)/(2))`
` =2 [a((s-a)(s-b))/(ab) +c((s-b)(s-c))/(bc)]`
`=(2)/(b) [(s-b) (s-b) +(s-b)(s-c)]`
`=(2)/(b)(s-b)[s-a+b-c] =(2)/(b)(s-b) [2s –a-c]`
`=(2)/(b) (s-b)[a+b+c-a-c] =(2)/(b)(s-b)[b] =2(s-b)`
`=2s -2b =a+b –c-2b =a+c-b`
= दायाँ पक्ष।