Omnipresent trigonometry

Algebra Level 5

\( \begin{align} s & =\csc { \frac { \pi }{ 2 } \csc { \frac { 4001\pi }{ 8000 } } } \\ & +\csc { \frac { 4001\pi }{ 8000 } \csc { \frac { 4002\pi }{ 8000 } } } \\ &+\csc { \frac { 4002\pi }{ 8000 } \csc { \frac { 4003\pi }{ 8000 } } } \\ &+ \ldots \\ &+\csc { \frac { 5999\pi }{ 8000 } \csc { \frac { 3\pi }{ 4 } } } \end{align}\)

Find \(s\pi\).

Try more problems here.

×

Problem Loading...

Note Loading...

Set Loading...