Find the Value Using the Unit Circle cos(90)

Problem

cos(90)

Solution

1. Identify the angle on the unit circle. The angle 90 corresponds to the positive y-axis.

2. Determine the coordinates (x,y) of the point on the unit circle at 90 At this position, the point is (0,1)

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

4. Substitute the x-coordinate from the point (0,1) into the function.

Final Answer

cos(90)=0

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