If and the angle is obtuse, then

Maths Trigonometrical Ratios, Functions and Identities All Topic Question for Revision Test Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

none of these

Text Solution

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The correct answer is:

Use the Triangle Identity

For any triangle where , the tangent relationship is

Analyze the Signs:

Since and is an obtuse angle , is negative (tan ).

Therefore, must be a positive value ( ).

Since and must be acute angles, their tangents are positive, making the numerator

Determine the Denominator

For the entire fraction to be positive, the denominator must also be positive

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