Can This Trigonometric Identity Be Verified?

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Homework Help Overview

The discussion revolves around verifying a trigonometric identity involving secant, sine, and tangent functions. The original poster presents an identity to be verified, expressing uncertainty about how to approach the problem.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants suggest multiplying both sides of the equation by a common term to simplify the expression. There is also a question about the interpretation of negative signs in the equation, and one participant proposes rewriting trigonometric functions in terms of sine and cosine.

Discussion Status

The discussion is active, with participants providing suggestions for manipulation of the equation. There is no explicit consensus on the approach, but multiple lines of reasoning are being explored.

Contextual Notes

There is some confusion regarding the signs in the original equation, and participants are clarifying the setup of the identity to be verified.

louie3006
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Homework Statement



verify the identity :
1+sec(-∅)/sin(-∅+tan(-∅) = -csc ∅

Homework Equations





The Attempt at a Solution


1+sec∅/-sin-tan∅ = -csc∅

I don't know where to start from, does anyone have any idea?
 
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louie3006 said:
1+sec∅/-sin-tan∅ = -csc∅

I don't know where to start from, does anyone have any idea?

Hi louie3006!

Just do the obvious … multiply both sides by sin∅ + tan∅ :smile:
 
do you mean conjugate the left side of the equation ?
 
are those minus signs before ∅?
i agree with tiny-tim, multiply both side by (sin∅ + tan∅) and you should see it.
if it helps, you can rewrite sec, csc and tan in terms of sin and cos.
 
I need to verify the identity of this problem

tan^2(x/2)=(sec x-1)/(sec x+1)
 
You have already started a new thread for this problem, which is the right thing to do.
 

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