Question

Find the exact value of each expression. Do not use a calculator.

$\csc 45°\tan 60°$

Short answer

The exact value of$\csc 45°\tan 60°=\sqrt{6}$

Step-by-step solution

Step 1. Given information

$\csc 45°\tan 60°$

Step 2. Solution

$$\begin{gathered} \csc 45°=\sqrt{2} \\ \tan 60°=\sqrt{3} \\ \mathrm{Putting}\mathrm{the}\mathrm{values}\mathrm{in}\mathrm{the}\mathrm{given}\mathrm{expression}\mathrm{we}\mathrm{get}, \\ \sqrt{2}\times \sqrt{3}=\sqrt{6} \\ \mathrm{So}, \\ \csc 45°\tan 60°=\sqrt{6} \end{gathered}$$