Domain And Range Of A Trig Function

Sine function y f x sin x domain.

Domain and range of a trig function. In order to find the domain let us equate the denominator to 0. This is impossible because the minimum value of sin is 1 and maximum value is 1. Graphically speaking the domain is the portion of the.

Therefore its domain is such that. 4 y 2 y r. The outputs of the trig functions are real numbers.

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. That situation happens in a function such as h x 3x 2. Range for sin function is between 1 and 1 1 sin 3x 1.

F x tan x graph. The range of a function is the list of all possible outputs y values of the function. The range of a function consists of all its output values the numbers you get when you input numbers from the domain into the function and perform the function operations on them.

The hitch here is that the different trig functions have different domains and ranges. Domain of sin x and cos x in any right angle triangle we can define the following six trigonometric ratios. 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.

Notice that the range is simply. Sin 3x 2. All real numbers period pi x intercepts.