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If the equation sin 6x+ cos4x =-2 have...

If the equation `sin 6x+ cos4x =-2` have a family of non negative solutions `x_k, s`, where `0 leq x_1 lt x_2 lt x_3...lt x_k lt x_k+1...` then the value of `1/pi sum_(k=1)^1000 |x_(k+1)-x_k|`

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