Trigonometric Arithmetic III

Geometry Level 3

\[ \sec ^{ 2 }{ x } -\left (\cos { x } +\sin { x } \tan { \frac { x }{ 2 } } \right )=\frac { \sin {(x-30^\circ)} +\cos{(60^\circ-x)} }{ \cos{x} } \]

If the solution for the trigonometric equation above is \(x=a^\circ(bn+1)\), for integers \(a,b,n \) and \(a,b > 0 \), what is the value of \( \dfrac a b\)?

×

Problem Loading...

Note Loading...

Set Loading...