JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

1 Easy

1 of 1

Application +4 | -1

The value of

\sqrt{2+\sqrt{2+\sqrt{2+2 \cos 8 \theta}}}

, where

0 < \theta < \frac{\pi}{8}

, is

View answer and explanation

Correct option: A

2 \cos \theta

Option A (

2 \cos \theta

) is correct because the nested square roots simplify to

2 \cos \theta

using the double angle formula for cosine.

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