arccsc(x) represents the inverse of the cosecant function.

The angle returned by this function is measured in radians, not in degrees.

For example, the result π represents an angle of 180o.

The inverse cosecant functions is multivalued.

The MuPAD arccsc function returns values on the main branch.

What is the inverse of CSC?

In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite side. In a formula, it is abbreviated to just ‘csc’. Of the six possible trigonometric functions, cosecant, cotangent, and secant, are rarely used.

What is SEC the inverse of?

For every trigonometry function such as sec, there is an inverse function that works in reverse. These inverse functions have the same name but with ‘arc’ in front. So the inverse of sec is arcsec etc. Means: The angle whose secant is 2.0 is 60 degrees.

Is arcsec the same as cos?

The functions are usually abbreviated: sine (sin), cosine (cos), tangent (tan) cosecant (csc), secant (sec), and cotangent (cot). According to the standard notation for inverse functions (f-1), you will also often see these written as sin-1, cos-1, tan-1 arccsc-1, arcsec-1, and arccot-1.

How do you find the inverse of a Cosecant?

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What is the definition of CSC θ?

In a right angled triangle, the cosecant of an angle is: The length of the hypotenuse divided by the length of the side opposite the angle. The abbreviation is csc. csc θ = hypotenuse / opposite.

Is Cosecant inverse of sine?

Finding the inverse of sine is finding the function “going in the opposite direction” (this is arcsin). Finding the reciprocal of sine is dividing 1 by it (this gives you cosecant). They aren’t the same at all, and it’s unfortunate that the notation confuses people into thinking otherwise.

What is SEC equal to?

The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . 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 SEC in terms of sin and cos?

The more important identities.

Defining relations for tangent, cotangent, secant, and cosecant in terms of sine and cosine. The Pythagorean formula for sines and cosines. This is probably the most important trig identity. Identities expressing trig functions in terms of their complements.

What is the opposite of SEC in math?

Secant, cosecant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan. Note, sec x is not the same as cos-1x (sometimes written as arccos x). Remember, you cannot divide by zero and so these definitions are only valid when the denominators are not zero.

Does Arccos equal 1 cosine?

Arccos(x) function

The arccosine of x is defined as the inverse cosine function of x when -1≤x≤1. (Here cos-1 x means the inverse cosine and does not mean cosine to the power of -1).

Is Cos 1 the same as 1 cos?

The derivative of cos-1x is: (The derivation is essentially the same as for sin -1x.) A graph of y = cos-1x and its derivative is shown at right. Notice that since cos-1x is a strictly-decreasing function, its derivative is always negative.

What is the opposite of Cotangent?

Cosecant, Secant and Cotangent

Cosecant Function:csc(θ) = Hypotenuse / Opposite
Secant Function:sec(θ) = Hypotenuse / Adjacent
Cotangent Function:cot(θ) = Adjacent / Opposite