cosec(x) <= -1 and cosec(x) >= 1Alternatively, it is all real numbers excluding the interval (-1, 1).
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).
As shown, the function has neither range nor domain.
range TPate
The range in a function is the y values, and yes it can repeat
The domain of a function is the set of values for which the function is defined.The range is the set of possible results which you can get for the function.
There is no minimum value for the cosecant function.
No, it is not.
yes
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.
An arccosecant is the function which is the compositional inverse of the cosecant function.
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).
The period of the cosecant function is 2π, which means the graph of cosecant repeats every 2π units along the x-axis.
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.
sine, cosine, tangent, cosecant, secant, cotangent.
The term "csc-1-1" typically refers to the cosecant function's inverse, also known as the arcsine function, which is denoted as csc⁻¹ or cosec⁻¹. It is defined for values outside the interval [-1, 1], as cosecant is the reciprocal of sine (csc(x) = 1/sin(x)). The domain for csc⁻¹ is typically restricted to the intervals where the sine function is defined, leading to results in the ranges of angles for which cosecant is valid. In summary, csc⁻¹(x) provides the angle whose cosecant is x.
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).
Sine, Cosine, Tangent, Cosecant, Secant, Cotangent.