Question

find the reference angle for the angle 1.6. the angle is measured in radians, not degrees. the angle is. (round to the nearest hundredth as needed.)

Explanation:

Step1: Determine the quadrant

We know that $\frac{\pi}{2}\approx1.57$ and $\pi\approx3.14$. Since $1.57 < 1.6<3.14$, the angle $1.6$ radians lies in the second - quadrant.

Step2: Calculate the reference angle

For an angle $\theta$ in the second - quadrant, the reference angle $\theta_{r}=\pi-\theta$. Substituting $\theta = 1.6$ into the formula, we get $\theta_{r}=\pi - 1.6$.
$\theta_{r}\approx3.14 - 1.6=1.54$

Answer:

$1.54$