Q. 43 - Precalculus Enhanced with Graphing Utilities

Question

Convert each angle in degrees to radians. Express your answer as a multiple of $\mathrm{\pi }$.

$-135°$

Step-by-Step Solution

Answer

The required answer is $\frac{-3\mathrm{\pi }}{4}radians$.

Step 1. Given Information

Given angle: $-135°$

Step 2. Formula Used

We need to use the following conversion formula,

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

Step 3. Calculation

We have, $-135°$

$-135°=-135·1°$

$=-135·\frac{\mathrm{\pi }}{180}radian$

$=\frac{-3\mathrm{\pi }}{4}radians$