on April 22, 2022

What is the domain of CSC?

Space and Astronomy

The graph of the cosecant function looks like this: The domain of the function y=csc(x)=1sin(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 y≤−1 or y≥1 .

How do I find my csc domain?

Video quote: So when identifying the domain. It's going to be all real numbers such that X cannot equal 0 would be the first would be my first asymptote. And then adding 20 I would just have to add PI.

What’s the domain of sec?

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?

For this type of function, the domain is all real numbers. A function with a fraction with a variable in the denominator. To find the domain of this type of function, set the bottom equal to zero and exclude the x value you find when you solve the equation. A function with a variable inside a radical sign.

What is called domain name?

A domain name is a string of text that maps to a numeric IP address, used to access a website from client software. In plain English, a domain name is the text that a user types into a browser window to reach a particular website. For instance, the domain name for Google is ‘google.com’.

What is the domain and range of SEC Theta?

Summary

Function Domain Range
cot θ R – {nπ, n ∈ Z} R
sec θ R – {(2n+1)π/2, n ∈ Z} (– ∞, -1] ∪ [1 , ∞) or, {y: y ∈ R, y ≥ 1 or y ≤ –1}
cosec θ R – {nπ, n ∈ Z} (– ∞, -1] ∪ [1 , ∞) or, {y: y ∈ R, y ≥ 1 or y ≤ –1}


What is the domain and range?

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

What is the range of sec 2x?

The lower bound of the range for secant is found by substituting the negative magnitude of the coefficient into the equation. The upper bound of the range for secant is found by substituting the positive magnitude of the coefficient into the equation. The range is y≤−1 y ≤ – 1 or y≥1 y ≥ 1 .

What is the integral of sec 2x?

Math2.org Math Tables: Table of Integrals

cos x dx = sin x + C Proof csc x cot x dx = – csc x + C Proof
sin x dx = -cos x + C Proof sec x tan x dx = sec x + C Proof
sec2 x dx = tan x + C Proof csc2 x dx = – cot x + C Proof




What is the derivative of sec 2x?

The derivative of sec^2x is equal to 2 sec2x tanx. It is mathematically written as d(sec^2x)/dx = 2 sec2x tanx.

Where is sec 2x undefined?

secx is undefined at −π2 and π2 , so it is not continuous on the closed interval, [−π2,π2] . It is continuous on the open interval (−π2,π2) .

Is sec 2x continuous?

NO; secx is not continuous everywhere.

What is secant squared of zero?

1

The exact value of sec(0) is 1 . One to any power is one.



What is the derivative of cosine?

-sin x

The derivative of the cosine function is written as (cos x)’ = -sin x, that is, the derivative of cos x is -sin x.

What is the period for tangent?

π

The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant.



What does csc 2 equal?

Trigonometry Examples



The exact value of arccsc(2) is π6 . The cosecant function is positive in the first and second quadrants.

How do you write cosecant?

Cosecant is one of the main six trigonometric functions and is abbreviated as csc x or cosec x, where x is the angle. In a right-angled triangle, cosecant is equal to the ratio of the hypotenuse and perpendicular. Since it is the reciprocal of sine, we write it as csc x = 1 / sin x.

What is csc equal to?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

What is sin2?

Sin 2 degrees is the value of sine trigonometric function for an angle equal to 2 degrees. The value of sin 2° is 0.0349 (approx).

What is Sinx times COSX?

Answer : The expression for sin x + cos x in terms of sine is sin x + sin (π / 2 – x). Let us see the detailed solution now.



What is tan 2theta?

tan2x = sin 2x/cos 2x.