How Do Trigonometric Identities Relate to Each Other?

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The discussion centers on the relationships between various trigonometric identities, specifically questioning whether CSC(π/2 - x) equals Sin x or 1/Sin x. Participants also explore the identity for CSC²(π/2 - x) and the equivalence of COT(π/2 + x) to -Tan x or 1/-Tan x. A correction is made, clarifying that CSC(π/2 - x) actually equals Sec x. The conversation highlights the importance of verifying trigonometric identities through substitution and careful analysis.
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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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