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If sin beta =4/5 ,0 lt beta lt pi/2, the...

If `sin beta =4/5 ,0 lt beta lt pi/2,` then the value of `(sqrt(3)sin(alpha+beta)-4)/(sqrt(3))cos(alpha+beta)/(sinalpha)` (whenever defined is `a/sqrtb,` where `a and b` are coprime numbers, then find the value of `(a+b).`

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