# What is the domain of y = sec(x)?

## How do you find the domain of sec x?

Domain and Range for Sec, Cosec and Cot Functions sec x will not be defined at the points where cos x is 0. Hence, the domain of sec x will be R-(2n+1)π/2, where n∈I. The range of sec x will be R- (-1,1).

## What is the domain of Secant?

The domain of the secant function excludes π2+kπ π 2 + k π for all integers k; these are the values where the denominator of the secant function (the cosine) is 0. The range of the secant function is the set of all real numbers with size greater than or equal to 1.

## What is the range of Y sec x Brainly?

The correct answer is (–∞, –1 ] υ [ 1, ∞).

## What is the range of sec x?

1 Answer. The range of secx is (−∞,−1]∪[1,∞).

## Is sec x an even function?

Secant is an even function. The secant of an angle is the same as the secant of its opposite. So if the secant of anglet t is 2, the secant of−t − t is also 2.

## How do you find the domain?

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

## What is a domain in trigonometry?

The domain of a function is the specific set of values that the independent variable in a function can take on. The range is the resulting values that the dependant variable can have as x varies throughout the domain.

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## What is Secant graph?

As with tangent and cotangent, the graph of secant has asymptotes. This is because secant is defined as. The cosine graph crosses the x-axis on the interval. at two places, so the secant graph has two asymptotes, which divide the period interval into three smaller sections.

## What is the domain and range?

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

## Is the domain of Y sec x all real numbers?

The domain of the function y=sec(x)=1cos(x) is again all real numbers except the values where cos(x) is equal to 0, that is, the values π2+πn for all integers n. The range of the function is y≤−1 or y≥1.

## What is the range of Y sec 1 x?

We may consider [0, π] as range of y = sec 1 ( x ).

## Which of the following is an asymptote of y sec x?

The graph of y = secx has vertical asymptotes at x =π2+nπ, where n is any integer.

## Is Tan X odd or even?

We can determine whether each of the other basic trigonometric functions is even, odd, or neither, with just these two facts and the reciprocal identities. Thus tangent takes the form f(− x )=−f( x ), so tangent is an odd function.

## What is the range of SEC inverse X?

The domain of the inverse tangent function is (−∞,∞) and the range is (−π2,π2). The inverse of the tangent function will yield values in the 1 st and 4th quadrants. Graphs of Inverse Trigonometric Functions.

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Function Domain Range
sec − 1 ( x ) (−∞,− 1 ]∪[ 1,∞) [0,π2)∪(π2,π]
csc− 1 ( x ) (−∞,− 1 ]∪[ 1,∞) [−π2,0)∪(0,π2]

## What is the range of the function f/x )= sec x?

Trigonometric Functions

Function Domain Range
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, + ∞)
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