Question

1. convert from degrees to radians. you can type pi for the symbol π. 160°

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, we use the formula: $\text{Radians} = \text{Degrees} \times \frac{\pi}{180^\circ}$.

Step2: Substitute the given degree value

We are given $160^\circ$. Substitute this into the formula: $\text{Radians} = 160^\circ \times \frac{\pi}{180^\circ}$.

Step3: Simplify the fraction

Simplify $\frac{160}{180}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 20. So, $\frac{160\div20}{180\div20}=\frac{8}{9}$. Thus, the result is $\frac{8\pi}{9}$.

Answer:

$\frac{8\pi}{9}$