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In a triangle ABC, the point D divides BC in the ratio 1 : 2. Also AD is perpendicular to BC. Then the value of the expression tan B ( 1 + 2 tan A tan C) − 2 tan C is………


In a triangle ABC, the point D divides BC in the ratio 1 : 2. Also  AD is perpendicular to BC. Then the value of the expression tan B ( 1 + 2 tan A tan C) − 2 tan C is………

Grade:12

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
12 years ago

Dear student,

let AD=x

then AD=x tanB=x 2tanC

It gives tanB=2 tanC

Hence the given expression gives 2 tanA tanB tanC

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