If , then lies between

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

and

Text Solution

Verified by Experts

The correct answer is:

Express the Right-Hand Side (RHS)

Using standard half-angle forms

Analyze the Signs

For the RHS to simplify directly to , the cosine terms must cancel out. This requires

Combining these gives

Find the Interval

The sine function is strictly greater than the absolute value of the cosine function in the first and second quadrants between and

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