Q. 54 - Precalculus Enhanced with Graphing Utilities

Question

Convert angle in radian to degree-

$\frac{5\mathrm{\pi }}{12}$

Step-by-Step Solution

Answer

The required value is,

$\frac{5\mathrm{\pi }}{12}radian=75°$

Step 1. Given information

To convert $\frac{5\mathrm{\pi }}{12}$radian to degree.

Step 2. Calculation

Converting from radian to degree,

$$\begin{gathered} \frac{5\mathrm{\pi }}{12}radian=\frac{5\mathrm{\pi }}{12}.1radian \\ =\frac{5\mathrm{\pi }}{12}.\frac{180}{\mathrm{\pi }}degrees \\ =\frac{900}{12}degrees \\ =75° \end{gathered}$$