How Do Trigonometric Identities Relate to Each Other?

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Homework Help Overview

The discussion revolves around the relationships between various trigonometric identities, specifically focusing on cosecant and cotangent functions in relation to sine and tangent. Participants are exploring the validity of specific identities and their transformations.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the equivalence of different trigonometric identities, such as whether CSC(π/2 - x) equals Sin(x) or 1/Sin(x). There are also inquiries about the identity CSC(π - x) and its relation to sec(x). Additionally, some participants are suggesting substituting values for x to test the identities.

Discussion Status

The discussion is active with participants clarifying misconceptions and correcting previous statements. There is an acknowledgment of mistakes made in earlier posts, and some participants are awaiting further input from others regarding the multiple-choice question posed.

Contextual Notes

There appears to be some confusion regarding the identities being discussed, with participants correcting each other and addressing potential misunderstandings. The context includes a focus on specific trigonometric transformations and their implications.

HelloMotto
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Does
CSC(\pi/2 - x) = SinX OR 1 / SinX?

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

Does
COT(\pi/2 + x) = -TanX or 1/-TanX?
 
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csc ( \\pi - x) = secx
 
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.
 
Whoops, I meant csc(pi/2 - x) = secx
It was a mistake on my behalf.
 
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.
 

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