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What is the product of a trigonometric function and its reciprocal?

Anonymous

∙ 14y ago

Updated: 4/28/2022

The product of any object and its reciprocal is always the identity. In the case of numbers, 1 (one).

Wiki User

∙ 14y ago

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A function whose graph is not a straight line?

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Why is the secant function is an even function and the tangent and cosecant are odd functions?

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.

What does recipocal mean?

(of a quantity or function) related to another so that their product is one. The reciprocal of 3 is 1/3

What is the reciprocal of 2/3?

0.6667

What is the reciprocal of a tangent?

It is the cotangent function.

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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.

What is a cotangent?

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

A function whose graph is not a straight line?

LOTS- cubic - quadratics - reciprocal - hyperbola - trigonometric - and more

How do you express complementary angles into a trigonometric function?

The sine of an angle is the cosine of its complement and conversely. The tan of an angle is the reciprocal of its complement.

Which trigonometric function is most like an aristocrat who spends his summers on a yacht in the Caribbean?

The trigonometric function most like an aristocrat who spends his summers on a yacht in the Caribbean would be the secant function. The secant function is the reciprocal of the cosine function and represents the longest side of a right triangle divided by the adjacent side. Just like how an aristocrat enjoys the luxuries and extravagance of a yacht in the Caribbean, the secant function is known for its reciprocal relationship and unique characteristics in trigonometry.

Is sinh a trigonometric function?

Yes, but it is called a hyberbolic trigonometric function

What is the definention of reciprocal?

In Mathematics, "reciprocal" defines a quantity or function related to another so that their product is one. 2/3 is the reciprocal of 3/2 and vice versa.

Why is the secant function is an even function and the tangent and cosecant are odd functions?

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.

Is the reciprocal of a product the product of a reciprocal?

Yes.

What is the difficulties of trigonometric function of an angles?

TRIGONOMETRIC FUNCTIONS OF ANY ANGLE

What is the sin function?

It is a trigonometric function. It is also continuous.

The product of a number and its reciprocal is always what?

The product of a number and its reciprocal is always one. That's what reciprocal means.

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