Trig Functions Domain And Range Chart

Cos 2 x 1.

Trig functions domain and range chart. The range of a function is the list of all possible outputs y values of the function. Plot of the six trigonometric functions the unit circle and a line for the angle θ 0 7 radians. Some of the trig functions have restrictions on their domains too. Graphically speaking the domain is the portion of the.

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. To make the students to understand domain and range of a trigonometric function we have given a table which clearly says the domain and range of trigonometric functions. 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. Range the range is all possible values to get out of the function.

Domain and range of general functions the domain of a function is the list of all possible inputs x values to the function. 1 sin1q cscqq 1andcsc1 1 cos1q secqq 1andsec1 tanq cotq period the period of a function is the number t such that f qq tf. Properties of trigonometric functions the properties of the 6 trigonometric functions. Sin wq fi 2 t p w cos wq fi 2 t p.

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 range and de nition of the three main inverse trigonometric functions. 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. Sine function y f x sin x domain.

Hence we got the range and domain for sine function. With trig functions the domain input values is angle measures either in degrees or radians. Sin x cos x tan x cot x sec x and csc x are discussed. These include the graph domain range asymptotes if any symmetry x and y intercepts and maximum and minimum points.

Range of a trig function. Domain of sin x and cos x in any right angle triangle we can define the following six trigonometric ratios. Similarly following the same methodology 1 cos 2 x 0. For example the tangent function has a domain that can t include 90 degrees or 270 degrees among the many other restricted values.