The Graphs of Sine and Cosine
A sine wave, or sinusoid, is the graph of the sine function in trigonometry. A sinusoid is the name given to any curve that can be written in the form (A and B are positive). Sinusoids are considered to be the general form of the sine function. In addition to mathematics, sinusoidal functions occur in other fields of study such as science and engineering. This function also occurs in nature as seen in ocean waves, sound waves and light waves. Let's start with an investigation of the simpler graphs of y = A sin(Bx) and y = A cos(Bx). The value A affects the amplitude. The value B is the number of cycles it completes in an interval of from 0 to or 360º. . and the graph will be a horizontal stretching. and the graph will be a horizontal shrinking. This problem is a combination of dealing with the values of A and B. (there will be a horizontal stretch). (or 720º). This problem is also a combination of dealing with the values of A and B. (there will be a horizontal shrink). (or 120º).
Related: Collection 1: MA301 Trigonometric Functions