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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.

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Q: Why will sin and cosecant have the same sign?
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If sin is negative that make cosecant negative as well?

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


What is a cosecant ratio?

cosecant(x) = 1/sin(x)


Cosecant on calculator?

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.


Can you guys help me with sin theta?

its the inverse of cosecant theta.


Does cotangent plus one equal cosecant?

Cotangent = 1/Tangent : Cosecant = 1/Sine Then, cot + 1 = (1/tan) + 1 = (cos/sin) + (sin/sin) = (cos + sin)/ sin. Now, cos² + sin² = 1 so for the statement to be valid the final expression would have to be : (cos² + sin² ) / sin = 1/sin. As this is not the case then, cot + 1 ≠ cosec. In fact, the relationship link is cot² + 1 = cosec²


The vertical of the function cosecant are determined by the points that are not in the domain?

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.


Is cosecant-1 equals sine?

We're not sure how you wrote the question.If you wrote it as a subtraction: [ cosecant minus 1 ] = sine, then no, that's false.If you wrote it as an exponent: [ cosecant to the -1 power ] = sine, then yes, that's true.1 / csc(x) = sin(x)


Proof of the derivative of the cosecant function?

Express the cosecant in terms of sines and cosines; in this case, csc x = 1 / sin x. This can also be written as (sin x)-1. Remember that the derivative of sin x is cos x, and use either the formula for the derivative of a quotient (using the first expression), or the formula for the derivative of a power (using the second expression).


Evaluate the expression sine 30 degree cosecant 30 degree?

Sin(30) + cosec(30) = sin(30) + 1/sin(30) = 0.5 + 1/0.5 = 0.5 + 2 = 2.5


What is the reciprocal function of sin a?

Since sin(a)=opposite/hypotenuse, the reciprocal function is that function which is equal to hypotenuse/opposite. This is "cosecant", or csc(a). The reciprocal of sin(a) is csc(a). I will solve all your math problems. Check my profile for more info.


Is the inverse function of secant is the cosecant function?

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).


For any nonquadrantal angle sin and csc will have the same sign eplain why this is so?

the sin and csc functions are reciprocals, & reciprocals always have the same sign, since their product is 1, a positive number (straight out the back of a precalc book)