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

Problem

cos(π/2)

Solution

1. Identify the angle on the unit circle. The given angle is θ=π/2 radians, which corresponds to 90

2. Locate the coordinates (x,y) at this angle. On the unit circle, the angle π/2 points directly upward along the positive y-axis.

3. Determine the coordinates. The point on the unit circle at π/2 is (0,1)

4. Apply the definition of the cosine function. For any point (x,y) on the unit circle, cos(θ)=x

5. Extract the x-coordinate from the point (0,1)

Final Answer

cos(π/2)=0

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