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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