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

Rotate the yellow dot to a location of 55 radians. After you rotate the angle, determine the value of sin⁡5 \sin 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 sin⁡5 \sin 5 , to the nearest hundredth.
  1. Understand the problem: Understand the problem.\newlineWe need to find the value of the sine function for an angle of 55 radians. Since the sine function is periodic, we can use a calculator or a trigonometric table to find the value of sin⁡5\sin 5.
  2. Calculate the value: Calculate the value of sin⁡5\sin 5.\newlineUsing a calculator, we find that sin⁡5\sin 5 is approximately 0.958920.95892.
  3. Round to nearest hundredth: Round the value to the nearest hundredth.\newlineTo round to the nearest hundredth, we look at the third decimal place. Since the third decimal place is 99, we round up the second decimal place by one. Therefore, sin⁡5\sin 5 rounded to the nearest hundredth is 0.960.96.

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