Find the Exact Value 2cos(pi/2)

Problem

2*cos(π/2)

Solution

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

2. Evaluate the cosine function at this angle. On the unit circle, the coordinates at π/2 are (0,1)

3. Determine the value of cos(π/2) as the x-coordinate of the point on the unit circle.

cos(π/2)=0

4. Substitute this value back into the original expression.

2*(0)=0

Final Answer

2*cos(π/2)=0

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