The value of

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. $\frac{1}{4}$

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

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

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


Correct Option: , 3

Solution:

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