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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

AI Generated Solution

To solve the problem, we need to simplify the expression \((a^2 - b^2 - c^2) \tan A + (a^2 - b^2 + c^2) \tan B\) in triangle ABC. ### Step-by-Step Solution: 1. **Rewrite the Expression**: We start with the expression: \[ (a^2 - b^2 - c^2) \tan A + (a^2 - b^2 + c^2) \tan B ...
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