NIMCET 2010 — Mathematics PYQ

1. Simplify the inner square root:

Consider the term $\sqrt{2+2\cos 4\theta }$:

Using $1+\cos 4\theta =2{\cos }^{2}2\theta$:

2. Substitute back into the main expression:

The expression becomes:

3. Simplify the final square root:

Using $1+\cos 2\theta =2{\cos }^2\theta$:

Correct Option:

(c) $2\cos \theta$