Q 38. - Precalculus Enhanced with Graphing Utilities

Question

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

$\sec 30° \cot 45°$

Step-by-Step Solution

Answer

The exact value of$\sec 30° \cot 45°=\frac{2}{\sqrt{3}}$

Step 1. Given information

$\sec 30° \cot 45°$

Step 2. Solution

$$\begin{gathered} \sec 30°=\frac{2}{\sqrt{3}} \\ \cot 45°=1 \\ \mathrm{Putting} \mathrm{the} \mathrm{values} \mathrm{in} \mathrm{the} \mathrm{given} \mathrm{expression} \mathrm{we} \mathrm{get}, \\ \frac{2}{\sqrt{3}}\times 1=\frac{2}{\sqrt{3}} \\ \mathrm{So}, \\ \sec 30° \cot 45°=\frac{2}{\sqrt{3}} \end{gathered}$$