cosx pi/4
To find the value of cos(pi/4), we will use the unit circle and the properties of trigonometric functions
To find the value of cos(pi/4), we will use the unit circle and the properties of trigonometric functions.
In the unit circle, the angle pi/4 (45 degrees) forms a right triangle where the adjacent side is 1 and the hypotenuse is sqrt(2) due to the Pythagorean theorem.
Using the definition of cosine, cos(x) = adjacent/hypotenuse, we can substitute the values into the formula:
cos(pi/4) = 1/sqrt(2)
To rationalize the denominator, we multiply both the numerator and denominator by sqrt(2):
cos(pi/4) = (1 * sqrt(2))/(sqrt(2) * sqrt(2))
= sqrt(2) / 2
So, cos(pi/4) is equal to sqrt(2) / 2.
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