Question

1. choose the correct answer. convert ( 75^circ ) to radians. ( \bigcirc \frac{5}{12} \bigcirc \frac{75}{pi} \bigcirc \frac{5pi}{12} \bigcirc \frac{pi}{} ) (the last option seems incomplete but we retain as is)

Explanation:

Step1: Recall degree-radian conversion

To convert degrees to radians, multiply by $\frac{\pi}{180}$.

Step2: Substitute the given angle

Multiply $75^\circ$ by the conversion factor:
$75 \times \frac{\pi}{180}$

Step3: Simplify the fraction

Cancel common factors (15) from numerator and denominator:
$\frac{75\pi}{180} = \frac{5\pi}{12}$

Answer:

$\frac{5\pi}{12}$ (the third option)