Solving the Cos+SinTan/SinSec=Csc Equation

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The equation cos + sin tan / sin sec = csc is misinterpreted due to formatting issues. It is suggested that the correct interpretation should be (cos + sin tan) / (sin sec) = csc. The discussion highlights the importance of clear punctuation and proper function notation for better understanding. Participants are encouraged to clarify their equations to avoid confusion. Proper formatting and clarity are essential for effective communication in mathematical discussions.
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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)
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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