Question

use a calculator to find the value of the acute angle θ in radians, rounded to three decimal places. cosθ = 0.4152 θ = radians (round to three decimal places.)

Explanation:

Step1: Recall the inverse cosine function

To find the angle \(\theta\) when \(\cos\theta = 0.4152\), we use the inverse cosine function, \(\theta=\cos^{-1}(0.4152)\).

Step2: Use a calculator to compute

Make sure the calculator is in radian mode. Then, calculate \(\cos^{-1}(0.4152)\). Using a calculator, we get \(\cos^{-1}(0.4152)\approx1.143\) (rounded to three decimal places).

Answer:

\(1.143\)