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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 55 radians. After you rotate the angle, determine the value of tan⁡5 \tan 5 , to the nearest hundredth.

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Full solution

Q. Rotate the yellow dot to a location of 55 radians. After you rotate the angle, determine the value of tan⁡5 \tan 5 , to the nearest hundredth.
  1. Understand the Angle: First, we need to understand that the value of tan⁡(5 radians)\tan(5 \text{ radians}) can be found using a calculator or a trigonometric table since 55 radians is not a common angle that we can easily evaluate manually.
  2. Use Scientific Calculator: Using a scientific calculator, input the value of 55 radians and use the tangent function to find the value of tan⁡(5)\tan(5).
  3. Calculate tan⁡(5)\tan(5): The calculator gives us the value of tan⁡(5)\tan(5) which is approximately −3.380515006246586-3.380515006246586.
  4. Round to Nearest Hundredth: We need to round this value to the nearest hundredth. Rounding −3.380515006246586-3.380515006246586 to the nearest hundredth gives us −3.38-3.38.

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