Question

In a triangle ABC, what will be the value of tanA + tanB + tan C ?
(b) 0
tan Atan B. tan C
(d)-1
(a) 1
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Answer 1

Answer:

∵ A, B and C are the angles of a triangle

∴A+B+C=π

∴tan(A+B+C)=tanπ=0

⟹

1−tanAtanB−tanBtanC−tanCtanA

tanA+tanB+tanC−tanAtanBtanC

=0

tanA+tanB+tanC=tanAtanBtanC