Find the Value Using the Unit Circle cos(45 degrees )

Problem

cos(45)

Solution

1. Identify the angle on the unit circle. The angle 45 is located in the first quadrant.

2. Determine the coordinates (x,y) for the given angle. On the unit circle, an angle of 45 corresponds to the point (√(,2)/2,√(,2)/2)

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

4. Extract the xvalue from the coordinates.

Final Answer

cos(45)=√(,2)/2

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