Domain Of Sine Function

Sin x cos x csc x sec x tan x cot x.

Domain of sine function. The two trigonometric ratios sin x and cos x are defined for all real values of x. Notice however that the range for both y sin x and y cos x is between 1 and 1. They are periodic functions with a period of 2π.

Y cos x is an even function which implies it is symmetric about the y axis. The output values for sine and cosine are always between and including 1 and 1. In trig speak you say something like this.

The sine functions have several distinct characteristics. The sine graph is a sinusiodal graph with x intercepts at x 2n pi maximun value of 1 at x pi 2. Therefore transformations of these functions in the form of shifts and stretches will affect the range but not the domain.

In the above six trigonometric ratios the first two trigonometric ratios sin x and cos x are defined for all real values of x. If theta represents all the angles in the domain of the two functions. Sin x 1 1 hence we got the range and domain for sine function.

The graph of y sin x is symmetric about the origin because it s an odd function. Cos 2 x 1. The domains of sine and cosine are infinite.

Therefore their domain is such that x r. There are no restrictions on the domain of sine and cosine functions. Similarly following the same methodology 1 cos 2 x 0.