If y in[-(pi)/(2), (pi)/(2)], sin y=x si...

If `y in[-(pi)/(2), (pi)/(2)], sin y=x sin(y+(pi)/(6))` such that the value of `(dy)/(dx)` at `x=1` is `a+(sqrt(b))/(c)` where `a,b,c in N` and `b` is a prime number.Then the value of `abc` is

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