Simplify Equation - Can You Help?

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Discussion Overview

The discussion revolves around the simplification of a mathematical expression related to error analysis in a physical problem. Participants seek clarity on the nature of the expression and its context.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant presents an expression involving sine functions and requests assistance in simplifying it.
  • Another participant points out that the initial submission lacks an equal sign, questioning whether it is an equation or merely an expression.
  • A later reply provides the full context by defining the expression as part of an error analysis in a physical problem.
  • Another participant introduces a function f(x) related to the sine functions and inquires about the definition of its derivative at a specific point.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the simplification of the expression, and there is ongoing clarification regarding its nature and context.

Contextual Notes

There is a lack of clarity regarding the full equation and the specific physical problem being analyzed, which may affect the simplification process.

hermano
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Hi,

I'm trying to simplify the following equation, but I'm not sure it can be! Can anybody help me please?

[tex] \frac{sin(\alpha + \delta \alpha)} {sin(\beta + \delta \beta - \alpha - \delta \alpha)} - \frac{sin(\alpha)} {sin(\beta - \alpha)} [/tex]
 
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hermano said:
Hi,

I'm trying to simplify the following equation, but I'm not sure it can be! Can anybody help me please?

[tex] \frac{sin(\alpha + \delta \alpha)} {sin(\beta + \delta \beta - \alpha - \delta \alpha)} - \frac{sin(\alpha)} {sin(\beta - \alpha)} [/tex]

That's not an equation (no equal sign), it is an expression. What is the full equation?

What is the context of the question? Is it for schoolwork, or for a physical problem?
 
berkeman said:
That's not an equation (no equal sign), it is an expression. What is the full equation?

What is the context of the question? Is it for schoolwork, or for a physical problem?

Oke, the full equation is
[tex] \epsilon = \frac{sin(\alpha + \delta \alpha)} {sin(\beta + \delta \beta - \alpha - \delta \alpha)} - \frac{sin(\alpha)} {sin(\beta - \alpha)} [/tex]

It is for an error analyses of a physical problem!

Thanks
 
Welcome to PF, hermano! :smile:

Let's define [itex]f(x) = {\sin(\alpha x) \over sin(\gamma x)}[/itex].
Do you know what the definition of f'(1) is?
 

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