NLCS Maths Department

Find a series of consecutive integers such that the sum of the series is a power of 2. Prove Ptolemy's Theorem. Find roots of the equation mx=sin x considering different values of m. Integrate |sinn(x)+cosn(x)| between 0 and 2 & (pi) for cases n=1,2. x2 + y2 = z2. Prove xyz is a multiple of 60 ................
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