Efficiently Solve a Complex Secant Problem | Homework Help

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The discussion revolves around solving a complex secant problem involving the expression tan(x/2)*(1+sec x)(1+sec 2x)(1+sec 4x)...(1+sec (2^n)x). The original poster expresses frustration in finding a solution and seeks assistance. A breakthrough occurs when the poster claims to have found the answer, prompting a request for thread deletion. The interaction raises questions about the initial inquiry and the subsequent resolution. Ultimately, the thread highlights the challenges of tackling advanced trigonometric problems and the community's support in resolving them.
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Homework Statement


Reduce to a single term:
I really have been spending a wretched time to solve that
tan (x/2)*(1+sec x)(1+sec 2x)(1+sec 4x).......(1+sec (2^n)x)


Homework Equations



tan (x/2)=2 tan (x/4) / 1- tan^2 (x/4)

can this ever help 1+tan^2=sec^2

The Attempt at a Solution



Please help! me to get started
 
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ritwik06 said:

Homework Statement


Reduce to a single term:
I really have been spending a wretched time to solve that
tan (x/2)*(1+sec x)(1+sec 2x)(1+sec 4x).......(1+sec (2^n)x)


Homework Equations



tan (x/2)=2 tan (x/4) / 1- tan^2 (x/4)

can this ever help 1+tan^2=sec^2

The Attempt at a Solution



Please help! me to get started

I hav got my answer. Moderators delete this thread!
 
How did you do it?
 
xphloem said:
I hav got my answer. Moderators delete this thread!

Why did ritwik06 post the question and xphloem ask for it to be deleted?
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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