Rotate the yellow dot to a location of $1$ radian. After you rotate the angle, determine the value of $\cos 1$ , to the nearest hundredth.

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Inverses of trigonometric functions using a calculator

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Q. Rotate the yellow dot to a location of

1

radian. After you rotate the angle, determine the value of

\cos 1

, to the nearest hundredth.

Understand the problem: Understand the problem. $\newline$ We need to find the value of the cosine function when the angle is $1$ radian. The cosine function gives the $x$ -coordinate of a point on the unit circle corresponding to a given angle measured from the positive $x$ -axis.
Use calculator or table: Use a calculator or trigonometric table to find the value of $\cos(1 \text{ radian})$ . Since the value of $\cos(1 \text{ radian})$ is not a common angle that we can easily memorize, we will use a calculator to find the value.
Calculate $\cos(1 \text{ radian}):</b> Calculate \$\cos(1 \text{ radian})$ using a calculator. $\newline$ After inputting the value into a calculator, we find that $\cos(1 \text{ radian}) \approx 0.54030$ .
Round to nearest hundredth: Round the value to the nearest hundredth. $\newline$ To round to the nearest hundredth, we look at the third decimal place. Since the third decimal place is $0$ , we do not need to round up. Therefore, the value of $\cos(1\,\text{radian})$ to the nearest hundredth is $0.54$ .

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Rotate the yellow dot to a location of 111 radian. After you rotate the angle, determine the value of cos⁡1 \cos 1 cos1, to the nearest hundredth.

Rotate the yellow dot to a location of $1$ radian. After you rotate the angle, determine the value of $\cos 1$ , to the nearest hundredth.