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Rotate the yellow dot to a location of 5 radians. After you rotate the angle, determine the value of
tan 5, to the nearest hundredth.

Rotate the yellow dot to a location of $5$ radians. After you rotate the angle, determine the value of $\tan 5$ , to the nearest hundredth.

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Find roots using a calculator

Full solution

Q. Rotate the yellow dot to a location of

5

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

\tan 5

, to the nearest hundredth.

Understand the Angle: First, we need to understand that the value of $\tan(5 \text{ radians})$ can be found using a calculator or a trigonometric table since $5$ radians is not a common angle that we can easily evaluate manually.
Use Scientific Calculator: Using a scientific calculator, input the value of $5$ radians and use the tangent function to find the value of $\tan(5)$ .
Calculate $\tan(5)$ : The calculator gives us the value of $\tan(5)$ which is approximately $-3.380515006246586$ .
Round to Nearest Hundredth: We need to round this value to the nearest hundredth. Rounding $-3.380515006246586$ to the nearest hundredth gives us $-3.38$ .

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