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Q: If the value of a sine function is 0 then the co-secant function is undefined?

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

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

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.

It is sine.

Cosecant

Yes: cosecant = 1/sine If sine negative, 1/sine is negative → cosecant is negative.

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

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).

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