Find the Exact Value sin(270)

Problem

sin(270)

Solution

1. Identify the angle on the unit circle. The angle 270 is located on the negative y-axis.

2. Determine the coordinates of the point on the unit circle at 270 The coordinates are (0,−1)

3. Apply the definition of the sine function on the unit circle. For any point (x,y) on the unit circle, sin(θ)=y

4. Extract the y-coordinate from the point (0,−1)

Final Answer

sin(270)=−1

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