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In any triangle A B C , prove that follo...

In any triangle `A B C` , prove that following : `c/(a+b)=(1-tan(A/2)tan(B/2))/(1+tan(A/2)tan(B/2))`

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Verified by Experts

On using the sine rule we know,

`a / sin A=b / sin B=c / sin C=k`

`a / sin A=k`

Therefore, `a=k sin A`

Now, similarly `b=k sin B`

And `c=k sin C` (i)

As we know,

...
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