Sin(x)
Cos(x)
The sine function, commonly denoted as sin(x), is a mathematical function that associates each angle x with the value of the ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle.
Specifically, when we confine the angle x to lie between 0° and 90°, the value of sin(x) is a number between 0 and 1, inclusive. In the second quadrant (between 90° and 180°), sin(x) is positive, in the third quadrant (between 180° and 270°), sin(x) is negative and, in the fourth quadrant (between 270° and 360°), sin(x) is positive again.
The value of sin(x) can be determined using either a scientific calculator or a trigonometric table. For example, sin(x) of 30 degrees is 0.5 and sin(x) of 45 degrees is approximately 0.707.
Sine function has a number of applications in science, engineering, architecture, and other fields that deal with measurements of angles or waveforms.
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