Find the Value Using the Unit Circle sin(pi/2)

Problem

sin(π/2)

Solution

1. Identify the angle on the unit circle. The angle π/2 radians corresponds to 90

2. Locate the coordinates at this angle. On the unit circle, the point corresponding to π/2 is (0,1)

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

4. Determine the value by selecting the y-coordinate of the point (0,1)

Final Answer

sin(π/2)=1

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