Answer
$\csc{(\frac{5\pi}{13})}\approx 1.07$
Work Step by Step
RECALL:
$\csc{x} = \dfrac{1}{\sin{x}}$
Use a scientific calculator in radian mode.
Round-off answer to two decimal places to obtain:
$\csc{(\frac{5\pi}{13})} =\dfrac{1}{\sin{(\frac{5\pi}{13})}}\approx 1.07$