Simplify cos((3pi)/2)

Problem

cos((3*π)/2)

Solution

1. Identify the angle on the unit circle. The angle (3*π)/2 radians corresponds to 270 which is located on the negative y-axis.

2. Determine the coordinates of the point on the unit circle at this angle. The coordinates (x,y) for (3*π)/2 are (0,−1)

3. Apply the definition of the cosine function. On the unit circle, cos(θ) is equal to the x-coordinate of the point.

4. Evaluate the expression by selecting the x-coordinate from the identified point.

Final Answer

cos((3*π)/2)=0

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