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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).

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Q: Proof of the derivative of the cosecant function?
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Related questions

What is the minimum value that cosecant can be of an angle?

There is no minimum value for the cosecant function.


Is the cosecant function even?

No, it is not.


Is cosecant odd function?

yes


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.


What is an arccosecant?

An arccosecant is the function which is the compositional inverse of the cosecant function.


What is the second derivative of a function's indefinite integral?

well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.


What is the usual period for cosecant?

The period of the cosecant function is 2π, which means the graph of cosecant repeats every 2π units along the x-axis.


Why will sin and cosecant have the same sign?

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.


What are the six trigonometry function?

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


What is null derivative?

A null derivative occurs when an increasing function does not have a derivative. This is most commonly seen in the question mark function.


How do you find second derivative of a function?

All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2


What is the geometrical meaning for second derivative?

The Geometrical meaning of the second derivative is the curvature of the function. If the function has zero second derivative it is straight or flat.