What is the exact value of cos 45° ?

enter your answer, as a simplified fraction, in the box.
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Let the two sides of a right triangle be equal to one, which means that the hypotenuse is √2

Since cosa=adjacent side / hypotenuse

cos45=1/√2

We can rationalize the denominator by multiplying numerator and denominator by √2

√(2)/2

or if you prefer:  √(1/2)

The method to find the female dormitory is 2-d=800