Posted on April 24, 2022 (Updated on July 9, 2025)

What is the range of arcsec?

Space & Navigation

Trigonometry Solutions And Relationships Chart Table

Name Notation Range of usual principal value ( degrees )
arctangent y = arctan x −90° < y < 90°
arccotangent y = arccot x 0° < y < 180°
arcsecant y = arcsec x 0° ≤ y < 90° or 90° < y ≤ 180°
arccosecant y = arccsc x -90° ≤ y < 0° or 0° < y ≤ 90°

What is the domain of Arccosecant?

Principal values

Name Definition Domain of for real result
arctangent x = tan(y) all real numbers
arccotangent x = cot(y) all real numbers
arcsecant x = sec(y)
arccosecant x = csc(y)

How do you find Tan arcsec?

Then arcsec(u) is the angle between the positive x-axis and the ray beginning at the origin and passing through (1,√u2−12) ( 1 , u 2 – 1 2 ) . Therefore, tan(arcsec(u)) tan ( arcsec ( u ) ) is √u2−121 u 2 – 1 2 1 . Divide √u2−12 u 2 – 1 2 by 1 .

What does arcsec mean?

Definitions of arcsec. the inverse function of the secant; the angle that has a secant equal to a given number. synonyms: arc secant, arcsecant, inverse secant. type of: circular function, trigonometric function.

Is arcsec the same as 1 arccos?

arccos(1x)=arcsecx.

Is arcsec equal to cos?

The functions are usually abbreviated: arcsine (arcsin), arccosine (arccos), arctangent (arctan) arccosecant (arccsc), arcsecant (arcsec), and arccotangent (arccot).



Math2.org Math Tables:

sin(q) = opp/hyp csc(q) = 1/sin(q)
cos(q) = adj/hyp sec(q) = 1/cos(q)
tan(q) = sin(q)/cos(q) cot(q) = 1/tan(q)


What is the range of arcsec?

Trigonometry Solutions And Relationships Chart Table

Name Notation Range of usual principal value ( degrees )
arctangent y = arctan x −90° < y < 90°
arccotangent y = arccot x 0° < y < 180°
arcsecant y = arcsec x 0° ≤ y < 90° or 90° < y ≤ 180°
arccosecant y = arccsc x -90° ≤ y < 0° or 0° < y ≤ 90°

What is the inverse of arcsec?

Principal Values

function derived from domain
Arccos Arccos x = π/2 − Arcsin x [−1, +1]
Arctan inverse of tangent function all reals
Arccot Arccot x = π/2 − Arctan x all reals
Arcsec Arcsec x = Arccos(1/x) (−∞, −1] and [1, ∞)

Where does sec equal 2?

Mathwords: Inverse Secant. The inverse function of secant. Basic idea: To find sec–1 2, we ask “what angle has secant equal to 2?” The answer is 60°.

What is the domain of a secant function?

Domain and Range of Secant Function



So the domain of secant is all real numbers except for points (2n + 1)π/2. The range of secant is the set of all real numbers with a magnitude greater than or equal to 1.

What is domain and range of Secx?

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 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.

How do you find the range of a sec equation?

Video quote: Well the X scale is if your period is 2 pi over 3 your ex scale is how far you going to divide that up into quarters. So what we told is what we did is we take our period. And divide it by 4.

How do you find the domain and range of a CSC?

Video quote: Let's solve couple of problems regarding secant and cosecant let's find the domain and range of those functions. So example 3 so example 3 so why don't we have this function what if we have three

How do you find the domain of sec 2x?

The domain is all values of x that make the expression defined. Find the magnitude of the trig term sec(2x) sec ( 2 x ) by taking the absolute value of the coefficient. The lower bound of the range for secant is found by substituting the negative magnitude of the coefficient into the equation.

What is sec 2x?

sec(2x) = 1cos(2x) = 1cos(x+x) = 1cosx⋅cosx+sinx⋅sinx [Expanded using addition identity]

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.

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 Sec 2 integrated?

∫ sec 2 ⁡ The integration of secant squared of angle function with respect to is equal to sum of the tan of angle and the constant of integration.

What is the integral of SEC 4x?

Video quote: Color and today we're doing the integral of secant to power 4x. Or see you next to power 4. So start off by using an identity 1 plus 10 squared x equals secant squared X.