Question

use a calculator to find the value of the acute angle θ in radians, rounded to three decimal places. cos θ = 0.2646 θ = □ radians (round to three decimal places.)

Explanation:

Step1: Use arccos function

To find \( \theta \) when \( \cos\theta = 0.2646 \), we use the inverse cosine function \( \theta=\arccos(0.2646) \).

Step2: Calculate with calculator

Using a calculator in radian mode, we compute \( \arccos(0.2646) \approx 1.303 \) (rounded to three decimal places).

Answer:

\( 1.303 \)