Trigonometry
Without using a calculator, determine the exact value of the expression.
sin(arccos512)\sin\left(\arccos\frac{5}{12}\right)sin(arccos125)
5712\frac{5\sqrt7}{12}1257
135\frac{\sqrt{13}}{5}513
1195\frac{\sqrt{119}}{5}5119
11912\frac{\sqrt{119}}{12}12119