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Find the Exact Value sin(270 degrees )

Problem

sin(270)

Solution

  1. Identify the position of the angle 270 on the unit circle.

  2. Determine the coordinates (x,y) at 270 which is located on the negative y-axis.

  3. Recall that the coordinates at this point are (0,−1)

  4. Apply the definition of the sine function on the unit circle, where sin(θ)=y

  5. Substitute the y-coordinate to find the value.

Final Answer

sin(270)=−1


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