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An equation in which the variable(s) can take any value and it is still true.

ex.

cos(x) = cos(-x)

sin(x) = -sin(-x)

The above equations are true for any real value of x. Identities are sometimes written with a "triple equals sign", as in 3 parallel lines rather than 2.

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Q: What are identities in algebra?
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Related questions

What is algebraic expressions and identities?

they are the simple rules in algebra which make calculations a lot easier


Who invented special products as identities?

The concept of special products as identities in mathematics was not invented by a single individual. It is a fundamental principle in algebra that describes certain algebraic patterns or expressions that simplify into known equations or forms, such as the binomial theorem or the difference of squares.


How can you make good marks in maths calculus?

Know you algebra and trig. When I took calculus that is what my teachers told me. You will use both extensively in manipulations and identities and functions. Then you can learn the calculus.


I'm a college student and I'm taking a Pre calculus class at school this fall. What are main topics in Algebra and Trig that I should firmly know walking into class?

It would help to know both quite well - they are really not that complicated. But actually, in the case of algebra, you just need the basics - simple things like simplifying expressions, and solving equations. In the case of trigonometry, you may want to concentrate on the trigonometric identities. If you can't memorize all of them, don't worry; you will be reminded of the relevant identities in the calculus course.


In maths What is an identity?

An identity is a set of two (or more) quantities that are identical in every single way. Trigonometry is famous for identities. Two examples include: cos (-x) = cos x and sin (-x) = -sin x The values on either side of the equal sign are in every way the same exact thing, and thus, these are identities. Solving trigonemtric algebra problems requires the often clever use of complex identities, and many seemingly unsolvable problems are solved in this way.


When was Dead Identities created?

Dead Identities was created in 2006.


When was African Identities created?

African Identities was created in 2003.


How can you get into calculus?

Typically, the pre-requisite for calculus is algebra and trigonometry. These are usually universally required because you need these skills to actually do the mathematics of the calculus. There are a lot of identities in trigonometry that you will wish you could remember when you are working with calculus of trigonometric functions.


How did new national identities both build upon older identities and take advantage of the weakening of traditional identities?

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What are the identities in trigonometry?

In trigonometry, identities are mathematical expressions that are true for all values of the variables involved. Some common trigonometric identities include the Pythagorean identities, the reciprocal identities, the quotient identities, and the double angle identities. These identities are used to simplify trigonometric expressions and solve trigonometric equations.


What is the plural of identity?

The plural of identity is identities.


What is after pre algebra?

Since "pre-" means before, then pre-algebra would be before algebra. Conversely, algebra would be after pre-algebra. Generally, the next class after a pre-algebra class would be Algebra I, followed by Algebra II.