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18. - / 1 points use a calculator to estimate the value of the followin…

Question

  1. - / 1 points use a calculator to estimate the value of the following. round to the nearest ten - thousandth. sin 86.4°

Explanation:

Step1: Set calculator to degree mode

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

Step2: Compute sin(86.4°)

Using a calculator, input \( \sin(86.4^\circ) \). The calculator gives approximately 0.9975640503.

Step3: Round to ten - thousandth

The ten - thousandth place is the 4th decimal place. Looking at the 5th decimal place (0), since 0 < 5, we round down. So 0.9975640503 rounded to the nearest ten - thousandth is 0.9976.

Answer:

0.9976