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In a triangle ABC ,(a^2-b^2-c^2) tan A +...

In a triangle ABC ,`(a^2-b^2-c^2) tan A +(a^2-b^2+c^2)` tan B is equal to

A

`(a^2+b^2-c^2) tan C`

B

`(a^2+b^2+c^2) tan C`

C

`(b^2+c^2-a^2) tan C `

D

none of these

Text Solution

Verified by Experts

Using cosine law :
The given expression is equal to -2 bc cos A tan A +2 ac cos B tan B
`2 abc (-(sinA)/(a)+(sin B)/(b))=0`
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