Find the Exact Value cos(pi/2)

Problem

cos(π/2)

Solution

1. Identify the angle on the unit circle. The angle π/2 radians corresponds to 90 which is located on the positive y-axis.

2. Determine the coordinates of the point on the unit circle at this angle. The coordinates (x,y) for π/2 are (0,1)

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

4. Substitute the x-coordinate into the equation. Since the x-coordinate is 0 the value of the cosine is 0

Final Answer

cos(π/2)=0

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