How Do Trigonometric Identities Relate to Each Other?

In summary, a trigonometric identity is an equation that is true for all values of the variables involved and is used to simplify and manipulate trigonometric expressions. The purpose of using trigonometric identities is to simplify complex expressions and prove other equations. Trigonometric identities can be recognized by involving common functions such as sine, cosine, and tangent and being true for all values of the variables. They can be used to solve equations and some common identities include Pythagorean, double angle, and half angle identities. Understanding these identities is important for effectively using them in solving equations and simplifying expressions.
  • #1
HelloMotto
74
0
Does
CSC([tex]\pi[/tex]/2 - x) = SinX OR 1 / SinX?

What about
CSC2([tex]\pi[/tex]/2 -x)?

Does
COT([tex]\pi[/tex]/2 + x) = -TanX or 1/-TanX?
 
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  • #2
csc ( \\pi - x) = secx
 
  • #3
Draggu said:
csc ( \\pi - x) = secx

It does NOT. HelloMotto, don't you have some kind of opinion on a multiple choice question like this? You could at least substitute some values in for x.
 
  • #4
Whoops, I meant csc(pi/2 - x) = secx
It was a mistake on my behalf.
 
  • #5
Draggu said:
Whoops, I meant csc(pi/2 - x) = secx
It was a mistake on my behalf.

Now I'll believe that one. It's all up to HelloMotto now.
 

1. What is a trigonometric identity?

A trigonometric identity is an equation that is true for all values of the variables involved. It is used to simplify and manipulate trigonometric expressions.

2. What is the purpose of using trigonometric identities?

The purpose of using trigonometric identities is to simplify complex trigonometric expressions and to prove other trigonometric equations.

3. How do I recognize a trigonometric identity?

Trigonometric identities often involve common trigonometric functions such as sine, cosine, and tangent, and they will be true for all values of the variables involved. They may also involve multiple terms and involve the use of trigonometric ratios.

4. Can I use trigonometric identities to solve equations?

Yes, trigonometric identities can be used to solve equations by simplifying them and manipulating them into a form that is easier to solve. They can also be used to prove other trigonometric equations.

5. Are there any common trigonometric identities that I should know?

Yes, some common trigonometric identities include the Pythagorean identities, double angle identities, and half angle identities. It is important to have a basic understanding of these identities in order to effectively use them in solving equations and simplifying expressions.

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