Question

use a calculator to find the value of the acute angle θ in radians.
tan θ = 0.1417
θ ≈ □ radians (round to four decimal places as needed.)

Explanation:

Step1: Recall the inverse tangent function

To find \(\theta\) when \(\tan\theta = 0.1417\), we use the inverse tangent function, \(\theta=\arctan(0.1417)\).

Step2: Use a calculator to compute

Using a calculator in radian mode, we calculate \(\arctan(0.1417)\).
\(\theta=\arctan(0.1417)\approx0.1413\) (rounded to four decimal places)

Answer:

\(0.1413\)