If A+B+C=π that prove that tan(B+C)/2=cotA/2

 Steps to solve, if A+B+C=π that prove that tan(B+C)/2=cotA/2

Given that

A+B+C=π

⇒B+C=π-A

[Dividing 2 both side of the above equations]

⇒B+C/2=π-A/2

⇒tan(B+C)/2=tan(π/2-A/2)

⇒tan(B+C)/2=cotA/2

Hence If A+B+C=π that prove that tan(B+C)/2=cotA/2 is proved.

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