Q 37. - Precalculus Enhanced with Graphing Utilities

Question

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

$\csc 45° \tan 60°$

Step-by-Step Solution

Answer

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

Step 1. Given information

$\csc 45° \tan 60°$

Step 2. Solution

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