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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).

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Q: What is the reciprocal function of sin a?
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Related questions

What is a reciprocal trig function?

A reciprocal trigonometric function is the ratio of the reciprocal of a trigonometric function to either the sine, cosine, or tangent function. The reciprocal of the sine function is the cosecant function, the reciprocal of the cosine function is the secant function, and the reciprocal of the tangent function is the cotangent function. These functions are useful in solving trigonometric equations and graphing trigonometric functions.


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 is a trig function?

sin theta and csc theta are reciprocal functions because sin = y/r and csc = r/y you use the same 2 sides of a triangle, but you use the reciprocal.


What is sine reciprocal?

The reciprocal of sine is sin(-1). -1 being above the sin in small text like a squared number. * * * * * NO! sin-1 is the inverse function of sin, and that is not the same as the reciprocal. The reciprocal of sin(x) is 1/(sin(x) which is cosec(x). The following simple example will illustrate the difference between a reciprocal and inverse. Consider the function which doubles the value of its argument. That is f(x) = 2x The inverse of f(x) is the function g which halves its argument ie g(x) = x/2. The function g(x) reverses the action of f(x) and f(x) reverses g(x). Thus f[g(x)] = x for all x. The reciprocal of f(x) is 1/f(x) = 1/2x. So that for any value x, f(x) multiplied by its reciprocal (if it exists) always equals 1.


What is the reciprocal of a tangent?

It is the cotangent function.


Which parent function is represented by the graph?

Reciprocal parent function


What is equivalent to sin 2 csc 2 - sin 2?

sin2csc2-sin2 (using the fact that the sin is the reciprocal of csc) = 1-sin2


Examples of operations of functions in trigonometry?

Trigonometry includes 12 baisic functions. Sine, Cosine, and Tangent are the three most baisic. Each of those functions has a reciprocal. Cosine's reciprocal is Secant, Sine reciprocal is Cosecant, and Tangent's reciprocal is Cotangent. Each of those six functions has an inverse funcion called Inverse Sine, Cos etc... or Arcsine, Arcosine, Arcsecant, etc.... The shorthand for each function is sin, caos, tan, sec, csc, cot. The inverses have a -1 notation like sin-1.


Real life application to the reciprocal function?

There are no real life applications of reciprocal functions


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).


What does a reciprocal function look like?

a dick


What is a cotangent?

Cotangent is a trigonometric function. It is the reciprocal of the tangent.