Binomial Summations 5

Algebra Level 5

Find the value of 2k=0n[(nk)sin(kx)cos((nk)x)]\Large2\sum_{k=0}^n \left[\binom nk \sin(kx)\cos\left((n-k)x\right)\right]

Here, take n=13n=13 and x=1.467cx = 1.467^c radians.

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