Question

1. - / 1 points

use a calculator to estimate the value of the following. round to the nearest ten - thousandth.
$cos 52^{circ}$
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Explanation:

Step1: Set Calculator to Degree Mode

Ensure the calculator is in degree mode (since the angle is in degrees, \(52^\circ\)).

Step2: Calculate \(\cos(52^\circ)\)

Using a calculator, input \(\cos(52)\) (with degree mode active). The calculator gives approximately \(0.6156614753\).

Step3: Round to Ten - Thousandth

The ten - thousandth place is the fourth decimal place. The number is \(0.6156614753\). The digit in the fifth decimal place is \(6\), which is greater than or equal to \(5\), so we round up the fourth decimal place. \(0.6156 + 0.0001=0.6157\).

Answer:

\(0.6157\)