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  • <img alt="\\\text{If A,B, and C are angles of a triangle ABC, then find out the value of }\\\tan A+\tan B+\tan C-\tan A \tan B \tan C" src="/latex-image/?%5C%5C%5Ctext%7BIf%20A%2CB%2C%20and%20C%20a

\\\text{If A,B, and C are angles of a triangle ABC, then find out the value of }\\\tan A+\tan B+\tan C-\tan A \tan B \tan C

Option: 1

1


Option: 2

0


Option: 3

2


Option: 4

\sqrt{3}


Answers (1)

best_answer

\begin{array}{l} \text{ Given\ } { A+B+C= \pi }\\ \end{array}

\\So,\ \tan(A+B+C) = \tan(\pi)\\ \Rightarrow \tan(A+B+C) = 0\\ \Rightarrow \tan(A)+\tan(B)+\tan(C)-\tan(A)\tan(B)\tan(C) = 0\\ (Using\ tan(A+B+C)\ relation)

Posted by

HARSH KANKARIA

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