What is the domain of a cot graph?
What is the domain of a cot graph?
The graph of the cotangent function looks like this: The domain of the function y=cot(x)=cos(x)sin(x) is all real numbers except the values where sin(x) is equal to 0 , that is, the values πn for all integers n . The range of the function is all real numbers.
What is the domain of COTX?
Period and Amplitude of Basic Trig Functions
| A | B |
|---|---|
| Domain of y=cot x | All x≠nπ |
| Range of y=cot x | All Real numbers |
| Domain of y=sec x | All x≠π/2 + nπ |
| Range of y=sec x | y≤-1, y≥1 |
What is the domain of tangent and cotangent?
In reference to the coordinate plane, tangent is y/x, and cotangent is x/y. The domains of both functions are restricted, because sometimes their ratios could have zeros in the denominator, but their ranges are infinite.
What is the domain of cot 1?
Graphs of Inverse Trigonometric Functions
| Function | Domain | Range |
|---|---|---|
| cos−1(x) | [−1,1] | [0,π] |
| tan−1(x) | (−∞,∞) | (−π2,π2) |
| cot−1(x) | (−∞,∞) | (0,π) |
| sec−1(x) | (−∞,−1]∪[1,∞) | [0,π2)∪(π2,π] |
What is the domain of trigonometric functions?
Trigonometric Functions
| Function | Domain | Range |
|---|---|---|
| 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 , + ∞) |
How do you find the domain?
Identify the input values. Since there is an even root, exclude any real numbers that result in a negative number in the radicand. Set the radicand greater than or equal to zero and solve for x. The solution(s) are the domain of the function.
What is domain of Sinx?
About Transcript. The graph of y=sin(x) is like a wave that forever oscillates between -1 and 1, in a shape that repeats itself every 2π units. Specifically, this means that the domain of sin(x) is all real numbers, and the range is [-1,1].
What is the domain of TANX?
all real numbers
Domain: So the domain of f(x) := tanx is all real numbers except x = π 2 + kπ, k an integer. All of the trig functions are periodic and thus are not one-to-one.
What is the domain and range of the inverse?
The domain of an inverse function is the range of the original, and the range of an inverse function is the domain of an original. This is an important thing to remember as it will help in understanding and graphing inverse functions.
What is the domain and range of all trigonometric functions?
What are the domains of the six trig functions?
Terms in this set (6)
- Sin. Domain: All real numbers.
- Cos. Domain: All real numbers.
- Tan. Domain: All real numbers except value of K(Pi)/2 where K is an odd integer.
- CSC. Domain: All real numbers except K(Pi) where K is an integer.
- SEC. Domain: All real numbers except K(Pi)/2 where K is an odd integer.
- CoT.
What is the domain of y = α cot?
For the domain of the graph y = α cot (βx), the domain is x ≠ π/|β|k. For the cotangent function of format y = α cot (βx – c) + d, the domain is x ≠ c/β + π/|β|k, where k is an integer.
What makes up the domain of a cotangent function?
Domain Ordered pairs of the form (x, cot x) make up the cotangent function. Since cot (x) = cos (x) / sin (x), the domain of the cotangent function is the set of real numbers, except those values of s for which sin (x) = 0. Hence the domain contains all elements x such that x ≠ nπ, where n is an integer.
How is the graph of cot ( X ) symmetric?
symmetry: since cot (-x) = – cot (x) then cot (x) is an odd function and its graph is symmetric with respect the origin. intervals of increase/decrease: over one period and from 0 to pi, cot (x) is decreasing. Vertical asymptotes: x = k pi, where k is an integer.
Which is the graph of tangent over its entire domain?
The graph of tangent over its entire domain is as follows: Similarly, cot(θ) is not defined for values of θ such that sin(θ) = 0. From the graph of sin(θ), we see that sin(θ) = 0 when θ = 0+kπ for any integer k, which implies that the cotangent function has vertical asymptotes at these values of θ: