Simplest form of $\frac{2}{{\sqrt {2 + \sqrt {2 + \sqrt {2 + 2\,\,\cos \,\,4x} } } }}$ is

JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

1 Easy

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Application +4 | -1

Simplest form of

\frac{2}{{\sqrt {2 + \sqrt {2 + \sqrt {2 + 2\,\,\cos \,\,4x} } } }}

View answer and explanation

Correct option: A

\sec \,\,\frac{x}{2}

Option A (

\sec \,\,\frac{x}{2}

) is correct because it is obtained by repeatedly using the identity

2\cos^2 \theta = 1 + \cos 2\theta

and simplifying the expression.

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