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If sinx=−13cosx\sin {x} = -13\cos{x}sinx=−13cosx. Then, the value of
sinx+sin2x+sin3xcosx+cos2x+cos3x\begin{aligned} \frac{\sin {x} + \sin{2x} + \sin{3x}}{\cos{x}+\cos{2x}+\cos{3x}} \end{aligned}cosx+cos2x+cos3xsinx+sin2x+sin3x
can be expressed in the form ab\frac{a}{b}ba, where aaa and bbb are positive coprime integers. What is the value of a+ba+ba+b?
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