Select your answer Convert \( -60^{\circ} \) into radians. \( \begin{array}{l}-\frac{\pi}{2} \\ -\frac{\pi}{3} \\ -\frac{\pi}{4} \\ -\frac{\pi}{12}\end{array} \)

To convert degrees to radians, you can use the formula: radians = degrees × (π/180). For \( -60^{\circ} \): \[ -60^{\circ} \times \left( \frac{\pi}{180} \right) = -\frac{60\pi}{180} = -\frac{\pi}{3} \] So, the answer is \( -\frac{\pi}{3} \). Now let’s dig into some fun knowledge! Did you know that angles measured in degrees are based on ancient Babylonian astronomy? They divided circles into 360 parts, possibly influenced by the number of days in a year. Radians, on the other hand, come straight from geometry, leveraging the radius of a circle. Isn't it fascinating how a simple concept can stretch across cultures? Feeling lost with converting angles? A common mistake is forgetting the negative sign when dealing with angles in the clockwise direction. Always remember: moving clockwise indicates a negative angle, while counterclockwise gives you a positive angle!