This can be done on a graphing calculator by making sure you have your calculator in degrees mode, and then tentering the cos(23). You get an answer of 0.9205048535.
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60 degrees = 0.5 1/2
As a decimal: 0.866 As a fraction: √(3)/2
Fora right angle triangle: cosine angle = adjacent/hypotenuse
The cosine of theta is adjacent over hypotenuse, given a right triangle, theta not being the 90 degree angle, adjacent not being the hypotenuse, and theta being the angle between adjacent and hypotenuse. In a unit triangle, i.e. in a unit circle circumscribed with radius one, and theta and the center of the circle at the origin, cosine of theta is X.
Cosine (23) = Cos(23 degrees) = 0.920504853... ~ 0.9205