The value of 3 3 3 3 cos .cos sin .sin 88 88 æö æ ö æö æ ö p p pp ç÷ ç ÷ ç÷ ç ÷ + èø è ø èø è ø is

Question:

The value of $\cos ^{3}\left(\frac{\pi}{8}\right) \cdot \cos \left(\frac{3 \pi}{8}\right)+\sin ^{3}\left(\frac{\pi}{8}\right) \cdot \sin \left(\frac{3 \pi}{8}\right)$ is

$$

  1. $\frac{1}{\sqrt{2}}$

  2. $\frac{1}{2 \sqrt{2}}$

  3. $\frac{1}{2}$

  4. $\frac{1}{4}$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometry chapter.
JEE Main Previous Year Jan. 9, 2020 (I)

Solution:

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