Explanation:Trigonometry: Simplifying (cos A + 1) / cos A Step by Step

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The problem involves simplifying the expression (cos A + 1) / cos A. The solution shows that this can be rewritten as 1 + (1/cos A), which simplifies further to 1 + sec A. This step-by-step breakdown helps in understanding the process of reducing trigonometric expressions. The explanation emphasizes the importance of recognizing the relationship between cosine and secant in trigonometry. Overall, the simplification provides clarity for solving similar problems in the future.
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[SOLVED] Trigonometry cos A + 1

My little sis needs help w/ the following problem for her homework and to tell you the truth, aside from the fact that I'm too busy I have no idea how to explain this to her step by step. I would appreciate an explanation on how to solve it -- a solution would be fine but even just the steps for solving it would be appreciated. thanks.


Homework Statement



Reduce
(cos A + 1) / cos A
 
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The only thing I can see is the obvious:
\frac{cos A+ 1}{cos A}= 1+ \frac{1}{cos A}= 1+ sec A[/itex]
 
HallsofIvy said:
The only thing I can see is the obvious:
\frac{cos A+ 1}{cos A}= 1+ \frac{1}{cos A}= 1+ sec A[/itex]
<br /> <br /> <br /> Thank you very much. I appreciate the help.
 

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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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