The relationship between the angles of a right triangle and the ratio of the sides is described by the cosine function, which is a periodic function. It is described as the ratio of the side adjoining an angle (the side that is next to the angle but not the hypotenuse) to the hypotenuse of the triangle.
By plotting points on a coordinate plane and connecting them with a smooth curve, the cosine function can be graphically depicted. Specify a range of values for the angle (typically expressed in degrees) and figure out the corresponding values of the cosine function in order to graph the cosine function.
Below is an example showing how to create the cosine function for angles between 0 and 360 degrees:
As the angle expands, the cosine function graph turns into a smooth curve that oscillates between 1 and -1. It will have a period of 360 degrees, which means that it will repeat itself every 360 degrees. As the cosine function is not clear at this point, the graph will have a vertical asymptote at x = 90 degrees.
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