f(x)=esin(x)cos(x)
Let f(x) denote the function of the expression above. If the greatest possible value of f(x) can be represented by the form (ac−b)a1⋅eac−b
Where a,b,c are constants and e≈2.7183... (Euler's constant) and a,b,c are integers. Find a+b+c.