• question_answer The value of$\cos \frac{\pi }{{{2}^{2}}}.\cos \frac{\pi }{{{2}^{3}}}....\cos \frac{\pi }{{{2}^{10}}}.\sin \frac{\pi }{{{2}^{10}}}$ is: A) $\frac{1}{512}$ B) $\frac{1}{1024}$ C) $\frac{1}{256}$ D) $\frac{1}{2}$

Using formula$\frac{\sin {{2}^{n}}A}{{{2}^{n}}\sin A}$ $=\cos A\cos 2A\cos {{2}^{2}}A...\cos {{2}^{n-1}}A$