Find the Exact Value cos(90 degrees )

Problem

cos(90)

Solution

1. Identify the position of the angle on the unit circle. An angle of 90 corresponds to the positive y-axis.

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

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

4. Extract the x-coordinate from the point (0,1) which is 0

Final Answer

cos(90)=0

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