Domain And Range Of Secant Math

I feel like i m thinking about these concepts in the wrong way.

Domain and range of secant math. Y y 0 r indicates range. X r and x 2n 1 π 2 n z domain of cosecant. X π 2 πn x π 2 π n for any integer n n. A graph of the inverse secant function is shown below.

As cosec x is the reciprocal of sin x its domain is the set. Domain f x will be r pie 2 n pie where n is an integer. Sin x cos x csc x sec x tan x cot x. Thus sin x and cos x lie in the range that has an interval of 1 1.

The domain is all values of x x that make the expression defined. Mathematics matrices part 6 siddagangaschool 158 watching live now domain and range functions graphs linear quadratic rational logarithmic square root duration. The ranges of these two functions never include proper fractions numbers between 1 and 1. Let f x sec x 1 cos x.

3 the domain of sec x is the set of all real numbers except x pi 2 n pi n being any integer. As sec x is the reciprocal of cos x its domain is the set x. Find the domain and range y sec x y sec x y sec x set the argument in sec x sec x equal to π 2 πn π 2 π n to find where the expression is undefined. The ratios of the cosecant and secant functions on the coordinate plane r y and r x have the hypotenuse r in the numerator.

My math ta keeps saying that 1 cos x and sec x aren t related or something to that extent that you can t think about them together. Infty 1 cup 1 infty 5 sec x is an even function and its graph is symmetric with respect to y axis. Ranges of cosecant and secant. Thus the inverse secant function has domain 1 1 and range 0 2 2.

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. The domain of y sin x and y cos x is the set of real numbers. Domain of sin x and cos x in any right angle triangle we can define the following six trigonometric ratios. 1 cos x sec x for a restricted range 0 pi and domain 1 1 would 1 sec x have a domain of 0 pi and a range of 1 1.

Range of f x will be infinity 1 u 1 infinity see the graph of sec x shown below so that you can easily understand the domain and range of sec x. For eachxin the set 1 1 we define y arcsec x to be the unique value ofyin the set 0 2 2 for which sec y x.