Q. 3 - Precalculus Enhanced with Graphing Utilities

Question

convert each angle in radians to degrees.

$\frac{3\mathrm{\pi }}{4}$

Step-by-Step Solution

Answer

Thus, $\frac{3\mathrm{\pi }}{4}radian = {135}^{\circ }$

Step 1. Given

Given angle to be converted into degree.

$\frac{3\mathrm{\pi }}{4}$

Step 2. Concept

We know 

$1 degree=\frac{180}{\mathrm{\pi }}radian.$

Step 3. Calculation

Consider

$$\begin{gathered} 1 degree = \frac{180}{\mathrm{\pi }}radian \\ =\left(\frac{3\mathrm{\pi }}{4}\right)\left(\frac{180}{\mathrm{\pi }}\right) \\ ={135}^{\circ } \end{gathered}$$