Problem 21 - Precalculus Essentials

Question

Convert each angle in radians to degrees. $$\frac{\pi}{2}$$

Step-by-Step Solution

Answer

The angle \(\frac{\pi}{2}\) radians is equivalent to \(90\) degrees.

Step 1: Identify the given angle in radians

In this exercise, the angle given in radians is \(\frac{\pi}{2}\).

Step 2: Use the radian to degree conversion factor

To convert radians to degrees, multiply by the conversion factor \(\frac{180}{\pi}\). So: \(\frac{\pi}{2} \times \frac{180}{\pi}\)

Step 3: Simplify

After multiplying, the \(\pi\) terms cancel out, resulting in: \(\frac{180}{2}= 90\)