Q. 4 - Precalculus Enhanced with Graphing Utilities

Question

convert each angle in radians to degrees.

$-\frac{5\mathrm{\pi }}{2}$

Step-by-Step Solution

Answer

Thus, $-\frac{5\mathrm{\pi }}{2}radian = -{450}^{\circ }$

Step 1. Given

Given angle to be converted into degree.

$-\frac{5\mathrm{\pi }}{2}$

Step 2. Concept

We know

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

Step 3. Calculation

Consider,

$$\begin{gathered} 1 degree = \frac{180}{\mathrm{\pi }}radian \\ =\left(-\frac{5\mathrm{\pi }}{4}\right)\left(\frac{180}{\mathrm{\pi }}\right) \\ =-{450}^{\circ } \end{gathered}$$