What is the value of \cos\frac{\pi}{4}

William Collins

William Collins

Answered question


What is the value of cosπ4

Answer & Explanation



Beginner2021-12-24Added 42 answers

Use the Unit Circle
Jack Maxson

Jack Maxson

Beginner2021-12-25Added 25 answers

It is possible to find the exact value of cosπ4 by constructing a right triangle with one angle set to π4 radians.
Now draw a right triangle with one of the acute angles set to 45 degrees. These two angles would be supplementary, and their sum would be 90 degrees. Thus, the other angle in this triangle would also be 45 degrees, making an isosceles right triangle.
Therefore, cosπ4=cos(45)=adj.hyp.=12=22


Skilled2021-12-30Added 375 answers

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