Problem 26 - Precalculus Essentials

Question

Convert each angle in radians to degrees. $$\frac{11 \pi}{6}$$

Step-by-Step Solution

Answer

The given angle in degrees is \(330^\circ\)

Step 1: Identify the given angle

The angle given is \( \frac{11 \pi}{6} \) radians

Step 2: Apply Conversion Formula

Apply the conversion formula: \( \text{degree} = \text{radian} \times \frac{180^\circ}{\pi} \). So, the angle in degrees will be \( \frac{11 \pi}{6} \times \frac{180^\circ}{\pi} \)

Step 3: Simplify the equation

Simplify the equation by cancelling out \(\pi\) from the numerators and the denominators, giving you the equation \( \frac{11 \times 180}{6} \)

Step 4: Solve the equation

Solve the equation \( \frac{11 \times 180}{6} \) to get the value in degrees