Answer
$\sqrt 6$
Work Step by Step
We need to compute $\csc 45^{\circ} \tan 60^{\circ}$.
Note that:
$\csc 45^{\circ}=\dfrac{1}{\sin 45^{\circ}}=\dfrac{1}{\frac{\sqrt2}{2}}=\sqrt2$
$\tan{60^{\circ}}=\sqrt3$
We the values above to obtain:
$\csc 45^{\circ} \tan 60^{\circ} \\
= \sqrt2 \times \sqrt3 \\
=\sqrt 6$
