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JEE Math Practice Question

The value of $$\cos {\pi \over {{2^2}}}.\cos {\pi \over {{2^3}}}\,.....\cos {\pi \over {{2^{10}}}}.\sin {\pi \over {{2^{10}}}}$$ is -

  1. A.$${1 \over {256}}$$
  2. B.$${1 \over {2}}$$
  3. C.$${1 \over {1024}}$$
  4. D.$${1 \over {512}}$$

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