Problem with using Power-Reducing Trigonometric identities

AI Thread Summary
The discussion focuses on simplifying the expression Tan^3Theta using trigonometric identities. The key equation mentioned is Tan^2Theta=1-cos2Theta/1+cosTheta, which aids in the reduction process. Participants suggest replacing tan with sin/cos to eliminate higher powers. The importance of not overcomplicating the problem is emphasized, highlighting a common challenge in trigonometric simplifications. Ultimately, the goal is to express the function without any terms with a power greater than one.
greerhead
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Homework Statement


Tan^3Theta


Homework Equations



Tan^2Theta=1-cos2Theta/1+cosTheta

The Attempt at a Solution


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What are you trying to reduce it to?
 
until there are no terms with a power greater than 1
 
greerhead said:
until there are no terms with a power greater than 1

Then you can just replace tan by sin/cos in your third line and multiply out and you will have no term whose power is greater than one.
 
Thanks! I was over complicating it, like usual.
 
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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