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KVPY Sample Paper KVPY Stream-SX Model Paper-29

  • 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) \[\frac{1}{2}\]

    Correct Answer: A

    Solution :

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


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