That's right. cosecant(x) = 1 / sine(x), so you would get a division by zero.
sine, cosine, tangent, cosecant, secant, cotangent.
Yes: cosecant = 1/sine If sine negative, 1/sine is negative → cosecant is negative.
The answer depends on what information you do have. For instance, if you have the sine, the cosecant is simply 1 over the sine. Formally, the cosecant is hypotenuse over opposite.
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.
Cosecant
It is sine.
Cosecant is the reciprocal of sine. To find the cosecant of an angle using a calculator, find the sine of that angle (using the Sin button) and then divide 1 by the result.
The inverse sine is the cosecant, otherwise known as "hypotenuse over opposite" or arcsine. The cosecant is often confused as being the inverse of the cosine, which, in reality, is the secant, otherwise known as "hypotenuse over adjacent" or arccosine.
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).
cosecant
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.