The value of 2 3 10 10 cos cos …. cos sin 22 22 pp p p

Question:

The value of

$$

\cos \frac{\pi}{2^{2}} \cdot \cos \frac{\pi}{2^{3}} \cdot \ldots \cdot \cos \frac{\pi}{2^{10}} \cdot \sin \frac{\pi}{2^{10}}

$$

  1. $\frac{1}{512}$

  2. $\frac{1}{1024}$

  3. $\frac{1}{256}$

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


Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometry chapter.
JEE Main Previous Year Jan. 10, 2019 (II)

Solution:

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