# Fun with Trigonometry!!

Geometry Level 3

If the value of

$$\left( 1\quad +\quad cos\frac { \pi }{ 8 } \right) \left( 1\quad +\quad cos\frac { 3\pi }{ 8 } \right) \left( 1\quad +\quad cos\frac { 5\pi }{ 8 } \right) \left( 1\quad +\quad cos\frac { 7\pi }{ 8 } \right)$$

can be written as $$\frac { x }{ y }$$, then find out the value of x + y.

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