# One x, two x, three x

Geometry Level 3

If $\sin {x} = -13\cos{x}$. Then, the value of

\begin{aligned} \frac{\sin {x} + \sin{2x} + \sin{3x}}{\cos{x}+\cos{2x}+\cos{3x}} \end{aligned}

can be expressed in the form $\frac{a}{b}$, where $a$ and $b$ are positive coprime integers. What is the value of $a+b$?

×