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

Rotate the yellow dot to a location of 11 radian. After you rotate the angle, determine the value of sin⁡1 \sin 1 , to the nearest hundredth.

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Full solution

Q. Rotate the yellow dot to a location of 11 radian. After you rotate the angle, determine the value of sin⁡1 \sin 1 , 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 11 radian. The sine function gives the yy-coordinate of a point on the unit circle corresponding to a given angle measured in radians from the positive xx-axis.
  2. Calculate the value: Calculate the value of sin⁡1\sin 1.\newlineUsing a calculator or a trigonometric table, we find that:\newlinesin⁡1≈0.8414709848…\sin 1 \approx 0.8414709848\ldots
  3. Round the value: Round the value to the nearest hundredth.\newlineTo round to the nearest hundredth, we look at the third decimal place. If it is 55 or more, we round up. If it is less than 55, we round down. In this case, the third decimal place is a 44, so we round down.\newlinesin⁡1≈0.84\sin 1 \approx 0.84

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