Q. 66 - Precalculus Enhanced with Graphing Utilities

Question

Convert the angle in radians to degrees . Express your answer in decimal form, rounded to two decimal places-

0.75

Step-by-Step Solution

Answer

The required value is,

$0.75radians=42.96°$

Step 1. Given information

To convert $0.75$ radians to degrees.

Step 2. Calculation

Converting from radians to degrees,

$$\begin{gathered} 0.75radians=0.75\times 1 radian \\ =0.75\times \frac{180}{\mathrm{\pi }}degrees \\ =0.75\times \frac{180}{{\displaystyle \raisebox{1ex}{$22$}\!\left/ \!\raisebox{-1ex}{$7$}\right.}}degrees \\ =42.96° \end{gathered}$$