Domain And Range Of Trigonometric Functions

Graphically speaking the domain is the portion of the x axis on which the graph casts a shadow.

Domain and range of trigonometric functions. The range of f x sin x and f x cos x will lie from 1 to 1 including both 1 and 1 i e. The x coordinate on the circle is smallest at 1 0 namely 1. Domain and range of general functions the domain of a function is the list of all possible inputs x values to the function. 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.

Domain it is defined for all real values of x except x nπ where n is any integer range. Domain range and signs of trigonometric functions. Domain and range the cosine and sine are the coordinates of a point on the unit circle formed by a terminal side and axis ox. Signs of functions based on quadrants.

Since w is defined for any with cos x and sin y there are no domain restrictions. Sine and cosine x y 1. Kˇ k. The terminal side can form any angle.

Domain of sin x and cos x in any right angle triangle we can define the following six trigonometric ratios. Thus dom sin and cos. Therefore the values of x and y correspond to this angle. Thex coordinate on the circle is largest at.

1 sin x 1. Domain range and period of the three main trigonometric functions. X and y values of a function. 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.

This indicates how strong in your memory this concept is. The range of a function is the list of all possible outputs y values of the function. 1 1 period 2π it is odd function graph of cosec x function we can write the range for the trigonometric functions in below summary table also read. F x sin x 1 1 f x cos x 1 1 f x tan x all real numbers except π 2 n π in f x sec x all real numbers except π 2 n π 1 u 1 f x csc x all real numbers except n π 1 u 1 f x cot x.