Given the diagram below, what is cos(45)?
A. √2
B.1/√2
C. 3√2
D. 1/√3

Using the cosine ratio, the value of cos(45) in the diagram is: B. 1/√2.
Cosine ratio is, cos ∅ = adjacent length/hypotenuse length of a right triangle.
The triangle is a 45-45-90 triangle, thus, the two legs will be the same length, which is: 9 units each.
Hypotenuse = √(9² + 9²) = √162 = 9√2 units
∅ = 45°
Adjacent = 9 units
cos 45 = 9/9√2 = 1/√2
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