Evaluate cos((3pi)/2)

Problem

cos((3*π)/2)

Solution

1. Identify the angle on the unit circle. The angle (3*π)/2 radians is equivalent to 270

2. Determine the coordinates of the point on the unit circle at this angle. The point is located on the negative y-axis.

3. Locate the coordinates (x,y) for (3*π)/2 which are (0,−1)

4. Apply the definition of the cosine function on the unit circle, where cos(θ)=x

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

Final Answer

cos((3*π)/2)=0

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