Find the Exact Value cos(pi/4)

Problem

cos(π/4)

Solution

1. Identify the angle in degrees to better visualize the position on the unit circle.

π/4* radians=45

2. Reference the unit circle or a special right triangle (45−45−90. In a unit circle, the coordinates for π/4 are (√(,2)/2,√(,2)/2)

3. Apply the definition of the cosine function on the unit circle, where cos(θ) corresponds to the xcoordinate of the point.

cos(π/4)=√(,2)/2

Final Answer

cos(π/4)=√(,2)/2

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