Question

use a calculator to find the value of the acute angle θ in radians, rounded to three decimal places. cosθ = 0.6514 θ = radians (round to three decimal places.)

Explanation:

Step1: Use inverse cosine function

To find \( \theta \) when \( \cos\theta = 0.6514 \), we use the inverse cosine function, \( \theta=\cos^{-1}(0.6514) \).

Step2: Calculate with calculator (in radian mode)

Using a calculator in radian mode, we find \( \cos^{-1}(0.6514)\approx0.862 \) (rounded to three decimal places).

Answer:

\( 0.862 \)