Trig Functions Domain And Range Chart
Range the range is all possible values to get out of the function.
Trig functions domain and range chart. Cos 2 x 1. The range of a function is the list of all possible outputs y values of the function. If you found these worksheets useful please check out inverse trigonometric functions worksheet pdf segments in circles worksheet pdf tangents to circles worksheet pdf angles in circles worksheet pdf circumscribed and inscribed circles worksheets law of sines and cosines w orksheet pdf double angle and half angle identities with answers.
With trig functions the domain input values is angle measures either in degrees or radians. It is defined for all real values of x range. Hence we got the range and domain for sine function.
Graphically speaking the domain is the portion of the. Properties of trigonometric functions the properties of the 6 trigonometric functions. Some of the trig functions have restrictions on their domains too.
These include the graph domain range asymptotes if any symmetry x and y intercepts and maximum and minimum points. Sin θ tan θ and 1 are the heights to the line starting from the x axis while cos θ 1 and cot θ are lengths along the x axis starting from the origin. Cos x 1 1 hence for the trigonometric functions f x sin x and f x cos x the domain will consist of the entire set of real numbers as they are defined for all the real numbers.
Sine function y f x sin x domain. Domain and range of general functions the domain of a function is the list of all possible inputs x values to the function. Similarly following the same methodology 1 cos 2 x 0.
The points labelled 1 sec θ csc θ represent the length of the line segment from the origin to that point. 1 y 1 period 2π it is a odd function graph of sin x function more graphs on sine function for y f x 2 sin x and y f x 3 sin x we can see that range get increased in the similar way. Domain of sin x and cos x in any right angle triangle we can define the following six trigonometric ratios.