Show the following result:$$\sum_{m=1}^{99}{\frac{\sin{\left(\frac{17 m \pi}{100}\right)} \sin{\left(\frac{39 m \pi}{100}\right)}}{1+\cos{\left( \frac{m\pi}{100} \right) }}}=1037$$
The source of this problem is unknown to me.
2026-03-28 22:53:32.1774738412
Finite Messy Trigonometric Sum
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