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Q9.

Expert-verified
Found in: Page 478

### Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

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# From degrees to radiansFind the radian measure of the angle $-{45}^{\circ }$. Round your answer to three decimal places.

Angle in radians is $\mathbf{-}\mathbf{0}\mathbf{.785}$

See the step by step solution

## Step 1. Given information.

An angle of $-{45}^{\circ }$ and we have to convert it in radians.

## Step 2. Concept used.

We already know how to convert an angle to radians by multiplying it by $\frac{\pi }{180}$.

The answer will be in radians.

## Step 3. Calculation.

Here is the calculation-

${1}^{\circ }=\frac{\pi }{180}\phantom{\rule{0ex}{0ex}}-{45}^{\circ }=\frac{\pi }{180}×\left(-45\right)⇒-0.785$

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