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If $A, B, C$ are the angles of a triangle such that angle $A$ is obtuse then

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tan⁡Atan⁡B<1

tan⁡Btan⁡C<1

tan⁡Ctan⁡A<1

tan⁡Atan⁡Btan⁡C<1

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detailed solution

Correct option is B

A>π/2 B+C<π/2⇒tan⁡(B+C)>0⇒ tan⁡B+tan⁡C1−tan⁡Btan⁡C>0⇒ tan⁡Btan⁡C<1( as tan⁡B,tan⁡C>0)

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If A, B, C are the angles of a triangle such that angle A is obtuse then

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Ready to Test Your Skills?

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If $A, B, C$ are the angles of a triangle such that angle $A$ is obtuse then