Trig help please assist me

hallo

what is 1/sinxcosx

$\begin{array}{rcl} \frac{1}{ \sin{(x)}\cdot \cos{(x)}} & \qquad | \qquad \boxed{~ \sin{(2x)} = 2\cdot \sin{(x)}\cdot \cos{(x)} ~ }\\\\ = \frac{1} { \frac{ \sin{(2x)}} {2} } \\ \frac{1}{ \sin{(x)}\cdot \cos{(x)}}=\mathbf{ \frac{2} { \sin{(2x)} } } \\ \end{array}$