Solving the Cos+SinTan/SinSec=Csc Equation

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Homework Help Overview

The discussion revolves around the equation involving trigonometric functions: cos + sin(tan)/sin(sec) = csc. Participants are attempting to manipulate this equation and clarify their understanding of the steps involved in the transformation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are discussing the manipulation of the equation, with one questioning the transition between two forms of the equation. There is an attempt to clarify the role of the least common multiple (LCM) in the numerator and a request for correction of potential errors in the manipulation process.

Discussion Status

The discussion is ongoing, with participants seeking clarification on specific steps and expressing uncertainty about their previous calculations. There is an indication of helpful guidance regarding the interpretation of the original equation and suggestions for clearer communication.

Contextual Notes

There are mentions of potential misunderstandings due to the formatting of the equation and the need for clearer punctuation in the posts. Some participants express doubt about their own calculations and seek assistance in correcting them.

fouracres
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Homework Statement



cos+sintan/sinsec=csc

Homework Equations





The Attempt at a Solution


(cos+sin(sin/cos))/(sin/1/cos)
(cos+sin^2sincos)/(sin/cos)
(cos+sin^2sincos)X(cos/sin)
 
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How did you go from
(cos+sin(sin/cos))/(sin/1/cos) to
(cos+sin^2sincos)/(sin/cos) ?

The cosine should become the LCM in the numerator.
 
i think i multiplied sin by sin and cos i wouldn't doubt that i did it wrong can u correct me i really would love to fix this !
 
where were u saying cos shud become the LCM in the numerator?
 
fouracres said:
i think i multiplied sin by sin and cos i wouldn't doubt that i did it wrong can u correct me i really would love to fix this !

Have you ever heard of punctuation? The quote above appears to be three different sentences. Using periods at the ends of your sentences would make what you say easier to understand.

A similar problem exists with your first post (in addition to the omission of arguments of the functions shown):
cos+sintan/sinsec=csc

As you have written it, most people in this forum would interpret the above as:
cos(x) + \frac{sin(x)tan(x)}{sin(x)sec(x)} = csc(x)

I suspect that what you really meant, though, was this:
\frac{cos(x) +sin(x)tan(x)}{sin(x)sec(x)} = csc(x)

If you don't know how to use LaTeX, you can write the equation above like so:
(cos(x) +sin(x)tan(x))/(sin(x)sec(x))=csc(x)
 

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