Thursday 22 July 2021

Find the number of pairs \((m,n)\) of positive integers with \(1 \le m < n \le 30\) such that there exists a real number \(x\) satisfying \[\sin(mx)+\sin(nx)=2.\]
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1 comment:

  1. Prithviraj Ghosh22 July 2021 at 09:09

    i think parity of m and n must be same for the condition to hold so the answer is 210(satisfying the condition m<n) sir am i correct?

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