Evaluate cos(45 degrees )

Problem

cos(45)

Solution

1. Identify the angle in the context of the unit circle or a special right triangle.

2. Recall that for a 45−45−90 triangle, the legs are equal in length.

3. Apply the definition of the cosine function, which is the ratio of the adjacent side to the hypotenuse.

4. Determine the value using the coordinates on the unit circle where the point is (√(,2)/2,√(,2)/2)

Final Answer

cos(45)=√(,2)/2

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