If ∑r=1n cos−1⁡xr=0, then ∑r=1n xr equals

If r=1ncos1xr=0, then r=1nxr equals

  1. A

    0

  2. B

    n

  3. C

    n(n+1)2

  4. D

    none of these

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    Solution:

    We know that

    0cos1xrπ;r=1,2,,nr=1ncos1xr=0cos1xr=0 for r=1,2,,nxr=1 for r=1,2,,n r=1nxr=r=1n1=n

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