Could someone please prove this identity

Thread starter rhule009
Start date Oct 18, 2006
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Identity

In summary, an identity in mathematics is an equation that is always true for all values of the variables involved. Proving an identity is important as it serves as a foundation for mathematical reasoning and allows its application in various problems and proofs. To prove an identity, one must use mathematical properties and rules to manipulate the equation into an equivalent form. Common strategies for proving identities include using known identities, simplifying expressions, factoring, and using trigonometric identities. While there are no shortcuts, some tips for proving identities include breaking down the equation, being familiar with common identities, and carefully tracking each step of the proof.

Oct 18, 2006

rhule009

tan3A= 3tanA-tan3A/1-3tan^2 A

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Oct 18, 2006

courtrigrad

https://www.physicsforums.com/showthread.php?t=138711

Oct 18, 2006

HallsofIvy

Science Advisor

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This is the third time that question has been posted in the last few days!

1. What is an identity in mathematics?

An identity in mathematics is an equation that is true for all values of the variables involved. It is a statement that is always true, regardless of the specific values used.

2. Why is it important to prove an identity?

Proving an identity is important because it provides a solid foundation for mathematical reasoning and allows for the application of the identity in various mathematical problems and proofs.

3. How do you prove an identity?

To prove an identity, one must apply mathematical properties and rules to manipulate the equation into a form that is equivalent to the other side of the identity. This requires careful algebraic manipulation and logical reasoning.

4. What are some common strategies for proving identities?

There are several common strategies for proving identities, including using known identities, simplifying expressions, factoring, and using trigonometric identities. It is also important to keep in mind that both sides of the equation must be manipulated in the same way in order to maintain equivalence.

5. Are there any shortcuts or tips for proving identities?

While there are no shortcuts for proving identities, there are some tips that can make the process easier. These include breaking down the identity into smaller, simpler equations, being familiar with common identities and their properties, and carefully tracking each step of the proof to avoid mistakes.