Question

⭐AHOLA BRÀINLIÃCS ⭐

If A,B,C are the interior angle of triangle ABC, then show that -
Sin(B+C / 2) = Cos (A / 2)

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Answer 1

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Answer 2

A+B+C=180

So,

b+c=180-A

b+c/2=90-a/2 ( Dividing the L.H.S and R.H.S by 2)

sin(b+c/2)

= sin ( 90 -a/2) ( Substituting b+c/2 value)

= cos a/2

Hence Proved

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