Summing Scattered Sines

Geometry Level 4

sin(α)+sin(3α)+sin(4α)+sin(5α)+sin(9α) \large \sin(\alpha) + \sin(3\alpha) + \sin(4\alpha) + \sin(5\alpha) + \sin(9\alpha)

Let α=2π11 \alpha = \dfrac{2\pi}{11} , find the closed form of the expression above.

Give your answer to 3 decimal places.


Solving this numerically is a sin!
×

Problem Loading...

Note Loading...

Set Loading...