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Question

In a triangle tan A + tan B + tan C =


A

tan A - tan B - tan C

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B

1

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C

tan A . tan B . tan C

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D

1 - tan A - tan B - tan C

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Solution

The correct option is C

tan A . tan B . tan C


In a triangle A + B + C = 180

A + B = 180 - C

Taking for an both sides

Tan (A + B) = tan (180 - C)

tanA+tanB1tanA.tanB = tanC

tan A + tan B = - tan C + tan A tan B tan C

tan A + tan B + tan C = tan A tan B tan C

Option C is correct


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