Q. 45 - Precalculus Enhanced with Graphing Utilities

Question

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

$-90°$

Step-by-Step Solution

Answer

The required measure of angle is $\frac{-\mathrm{\pi }}{2}radians$.

Step 1. Given Information

Given angle: $-90°$

Step 2. Formula Used

We need to use the following conversion formula,

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

Step 3. Calculation

We have,$-90°$

$-90°=-90·1°$

$=-90·\frac{\mathrm{\pi }}{180}radian$

$=\frac{-\mathrm{\pi }}{2}radians$

$-90°=-90·1°$