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Yes, that is why they are called "principal". The domains are restricted so that the functions become injective.

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Q: Is the principal trignometric functions are injective?
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Continue Learning about Trigonometry

Express all the trignometric ratios in terms of COS A?

Provided that any denominator is non-zero, sin = sqrt(1 - cos^2)tan = sqrt(1 - cos^2)/cos sec = 1/cos cosec = 1/sqrt(1 - cos^2) cot = cos/sqrt(1 - cos^2)


Uses of six trigonometry functions?

The trigonometric functions give ratios defined by an angle. Whenever you have an angle and a side in right triangle, you can find all the other angles and sides using the six trigonometric functions and their inverses. The link below demonstrates the relationship between functions.


Topics need for trigonometry?

There are several topics under the broad category of trigonometry. * Angle measurements * Properties of angles and circles * Basic trigonometric functions and their reciprocals and co-functions * Graphs of trigonometric functions * Trigonometric identities * Angle addition and subtraction formulas for trigonometric functions * Double and half angle formulas for trigonometric functions * Law of sines and law of cosines * Polar and polar imaginary coordinates.


What are some questions about hyperbolic functions?

* What are the exponential equivalents of hyperbolics? * How do hyperbolics relate to standard trig functions? * What shape does cosh produce? * Why does cosh grow faster than sinh? * What are the derivatives and integrals of various functions?


Find the range of trigonometric points?

The range of the circular trig functions sin and cos is is [-1,1], but even in the case of circular functions the range of the tangent function is all real numbers. This is of course true of tangent even if we do not limit it to circular functions. So your question, I assume, is asking about all trig functions. If so the range is all real numbers.

Related questions

How do you find x in a trignometric functions?

find x. given is 14 and a 90 degree angle


What are the functions of the principal components of a digital SLR camera?

functions of the principal components of a digital SLR camera


Examples of trigonometric function?

There r 6 trignometric functions,namely sin a cos a tan a cosec a sec a cot a where a is the angle. Trigonometric functions didn't exist without angles.


Why do the trignometric functions stay the same if the triangle is made larger or smaller without changing the angle?

Because both triangles will be proportionally similar in size and so therefore retaining the same 3 interior angles.


What are the two principal functions of the testis?

The two principal functions of the testis are sperm production through spermatogenesis and hormone production, mainly testosterone, which is responsible for male sexual characteristics and reproductive functions.


List the two principal functions of the testis?

The two principal functions of the testis are to produce sperm through spermatogenesis and to produce male sex hormones, primarily testosterone.


What is one of the principal functions of a peer review?

To look for common writing problems.


What is a Principal Job in middle school?

Principal is the manager of Middle School. The functions of entire schools comes under his domain. He is responsible to manage the entire functions of the School. In short he is the King who makes the rules for the best interest of students.


What is an input or output relation that has exactly one output for each input?

A one-to-one function, a.k.a. an injective function.


What are the 2 principal functions of the testis?

The two principal functions of the testis are sperm production through spermatogenesis and hormone production, primarily testosterone. Spermatogenesis is the process by which sperm cells are created, while testosterone is responsible for the development of male sexual characteristics and regulating reproductive functions.


Why can protein perform so many different functions?

Because it is a principal component of all cells.


A relation in which each element in the domain is mapped to exactly one element inthe range?

It is an injective relation.