Find the Exact Value sin(pi/2)

Problem

sin(π/2)

Solution

1. Identify the angle in the unit circle. The angle π/2 radians is equivalent to 90

2. Locate the coordinates on the unit circle at π/2 At this position, the point is (0,1)

3. Apply the definition of the sine function. On the unit circle, sin(θ) corresponds to the ycoordinate of the point.

4. Determine the value by selecting the ycoordinate from the point (0,1)

Final Answer

sin(π/2)=1

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