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

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

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Full solution

Q. Rotate the yellow dot to a location of π \pi radians. After you rotate the angle, determine the value of sin⁡π \sin \pi , to the nearest hundredth.
  1. Understand angle π\pi radians: To solve this problem, we need to understand what the sine function value is for an angle of π\pi radians. The angle π\pi radians corresponds to 180180 degrees on the unit circle, which is a point on the negative x-axis.
  2. Calculate sine value: The sine of an angle in the unit circle is the yy-coordinate of the point where the terminal side of the angle intersects the unit circle. For an angle of π\pi radians, the point on the unit circle is (−1,0)(-1, 0).
  3. Determine y-coordinate: Since the y-coordinate of the point is 00, the value of sin⁡π\sin \pi is 00.
  4. Final result: We do not need to round 00 to the nearest hundredth, as it is already an integer.

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