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cosec(x) <= -1 and cosec(x) >= 1Alternatively, it is all real numbers excluding the interval (-1, 1).

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Q: What is the range of the cosecant function?
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Related questions

What is the minimum value that cosecant can be of an angle?

There is no minimum value for the cosecant function.


Is the cosecant function even?

No, it is not.


Is cosecant odd function?

yes


The vertical of the function cosecant are determined by the points that are not in the domain?

The answer depends on what you mean by "vertical of the function cosecant". cosec(90) = 1/sin(90) = 1/1 = 1, which is on the graph.


What is the range of sin -1?

If you mean the arcsin function then the range is the whole of the real numbers - from "minus infinity" to "plus infinity". If you mean the cosecant function, the answer is the whole of the real numbers excluding (-1, 1).


What is an arccosecant?

An arccosecant is the function which is the compositional inverse of the cosecant function.


What is the usual period for cosecant?

The period of the cosecant function is 2π, which means the graph of cosecant repeats every 2π units along the x-axis.


Why will sin and cosecant have the same sign?

The cosecant is the reciprocal of the sine function. Now, the reciprocal of a positive number is positive, and the reciprocal of a negative number is negative.


What are the six trigonometry function?

sine, cosine, tangent, cosecant, secant, cotangent.


Is the inverse function of secant is the cosecant function?

No. The inverse of the secant is called the arc-secant. The relation between the secant and the cosecant is similar to the relation between the sine and the cosine - they are somehow related, but they are not inverse functions. The secant is the reciprocal of the cosine (sec x = 1 / cos x). The cosecant is the reciprocal of the sine (cos x = 1 / sin x).


What is the six trigo function of acute angle?

Sine, Cosine, Tangent, Cosecant, Secant, Cotangent.


Why is the secant function is an even function and the tangent and cosecant are odd functions?

I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.