The tangent of x is defined to be its sine divided by its cosine: ... 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 .

Is Arc csc equal to sin?

Originally Answered: Are arcsin and cosecant the same? No. They are not. Arcsine is the “inverse” of the sine function (sine is not actually invertible, so arcsine is only defined on an interval).

What is the relationship between sine and cosecant?

Cosecant is the reciprocal of sine, or \begin{align*}\frac{1}{y}\end{align*}. Therefore, whenever the sine is zero, the cosecant is going to have a vertical asymptote because it will be undefined. It also has the same sign as the sine function in the same quadrants.