Domain And Range Of Y Sec X

Domain and range tips for entering queries.

Domain and range of y sec x. What are the domain and the range of y sec x. To avoid ambiguous queries make sure to use parentheses where necessary. X π 2 πn x π 2 π n for any integer n n the domain is all values of x x that make the expression defined. Precalculus 4th edition edit edition.

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. Here are some examples illustrating how to ask for the domain and range. Find the domain of 1 e 1 x 1 function domain. Domain of log x x 2 1 x 2 1 domain.

Y 1 uu y 1 or y oo 1 uu 1 oo y sec x or y 1 cosx. If the range of y cos x is 1 cos x 1 inclusive then cos x 1 and cos x 1 inclusive 1. X in rr x npi pi 2 range. The domain is between infinity and infinity and if you use a unit circle you can find that it is undefined at angles of 90 and 270 so it is pi 2 n pi if you use radians.

The example below shows two different ways that a function can be represented. So secx can only take. X npi pi 2 thus the domain of the secant function is the set of real numbers excluding x npi pi 2 i e domain. The domain and range of a function is all the possible values of the independent variable x for which y is defined.

Domain of sin x and cos x in any right angle triangle we can define the following six trigonometric ratios. The range of a function is all the possible values of the dependent variable y. Enter your queries using plain english. Sec x is undefined at cosx 0 cos npi pi 2 0.

Square root of cos x. Problem 1ayu from chapter 6 2. As a function table and as a set of coordinates. Using a unit circle the range for cos x is 1 1 so the range of sec x or 1 cos x is inf 1 u 1 inf or y 1 or y 1 so the answer is the first choice.

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. So the domain of y sec x is all real numbers except x pi 2 pi k where k is an integer. Sec x 1 cos x the domain for cos x is. The range is.