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Let x = sin (sin +tan (2)). x can be written in the form avb, where a, b and care positive integers, a and

Let x = sin (sin +tan (2)). x can be written in the form avb, where a, b and care positive integers, a and care coprime and b is not divisible by the square of any prime. What is the value of a + b + c? Details and assumptions sin and tan -1 represent the inverse of the sin and tan function, and not the reciprocal.

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