Trig Help - Need Help Verifying This Identity

  • Context: High School 
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Discussion Overview

The discussion revolves around verifying a trigonometric identity involving sine, tangent, and cosine functions. Participants are seeking assistance with the steps required to simplify and confirm the identity.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant expresses difficulty in verifying the identity and requests help with the steps involved.
  • Another participant suggests multiplying by cos(x)/cos(x) as a potential method to simplify the expression.
  • A subsequent participant asks for further simplification and step-by-step guidance.
  • A later reply provides a series of algebraic manipulations, showing the transformation of the original expression into a new form, but does not complete the verification.

Areas of Agreement / Disagreement

The discussion does not present any consensus, as participants are still exploring methods and steps without reaching a definitive conclusion on the identity's verification.

Contextual Notes

Participants have not explicitly stated all assumptions or definitions, and some mathematical steps remain unresolved.

dec1ble
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im trying to verify this identity - sin x + tan x / 1 + cos x = tan x - i get lost very easily and need the steps - can anyone help me?
 
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multiply by cos(x)/cos(x)
 
hmm - can you simplify any of it for me in steps?
 
[tex]\frac{sin x + tan x}{1+cos x}[/tex]

[tex]\frac{(sin x + tan x)(cos x)}{(1+cos x) (cos x)}[/tex]

[tex]\frac{sin x \cdot cos x + sin x}{cos x (1+cos x)}[/tex]

can you take it from here?
 

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