Question

• / 1 points use a calculator to estimate the value of the following. round to the nearest ten - thousandth. \\(\cos 51^{\circ}\\)

Explanation:

Step1: Set calculator to degree mode

Ensure the calculator is in degree mode (not radians) to calculate trigonometric functions for angles in degrees.

Step2: Calculate cos(51°)

Using a calculator, input \( \cos(51^\circ) \). The calculator gives approximately \( 0.629320391 \).

Step3: Round to ten - thousandth

The ten - thousandth place is the fourth decimal place. The number is \( 0.629320391 \). The digit in the fifth decimal place is 2, which is less than 5, so we round down. So \( 0.629320391\approx0.6293 \).

Answer:

\( 0.6293 \)