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Chapter 4: Problem 18

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

Short Answer

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

Step by step solution

01

Write Down the Given Angle

The angle we are given is \(330^{\circ}\).
02

Apply the Conversion Factor

To convert degrees to radians, multiply the degree value by \(\frac{\pi}{180}\). So, \(330^{\circ} * \frac{\pi}{180} = \frac{330\pi}{180}\)
03

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 \(\frac{11\pi}{6}\)

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