Problem 18 - Precalculus Essentials

Question

Convert each angle in degrees to radians. Express your answer as a multiple of \(\pi\). $$330^{\circ}$$

Step-by-Step Solution

Answer

The equivalent of \(330^{\circ}\) in radians is \(\frac{11\pi}{6}\).

Step 1: Write Down the Given Angle

The angle we are given is \(330^{\circ}\).

Step 2: Apply the Conversion Factor

To convert degrees to radians, multiply the degree value by \(\frac{\pi}{180}\). So, \(330^{\circ} * \frac{\pi}{180} = \frac{330\pi}{180}\)

Step 3: Simplify the Expression

The fraction \(\frac{330\pi}{180}\) can be simplified to \(\frac{11\pi}{6}\). By taking out the common factor of 30 from the numerator and the denominator we get \(\frac{11\pi}{6}\)