2PI
An arcsecant is a function which is the compositional inverse of the secant function.
Secant is a trignometric function. In a right triangle, the secant of an angle is the hypotenuse over the adjacent side. It is also the inverse of cosine. For example secant(x) = 1/cos(x)
The inverse of the cosine is the secant.
absolute value of y> 1
The secant function is not defined for odd multipls of 90o.
2PI
An arcsecant is a function which is the compositional inverse of the secant function.
Secant is a trignometric function. In a right triangle, the secant of an angle is the hypotenuse over the adjacent side. It is also the inverse of cosine. For example secant(x) = 1/cos(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).
The inverse of the cosine is the secant.
Asymptotes
absolute value of y> 1
sine, cosine, tangent, cosecant, secant, cotangent.
The answer is cos A . cos A = 1/ (sec A)
An even function is a function that creates symmetry across the y-axis. An odd function is a function that creates origin symmetry.
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.