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

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SUMMARY

The expression (cos A + 1) / cos A simplifies to 1 + sec A. This is achieved by dividing each term in the numerator by cos A, resulting in 1 plus the reciprocal of cos A, which is defined as sec A. The solution is straightforward and can be easily explained step by step for educational purposes.

PREREQUISITES
  • Understanding of basic trigonometric functions, specifically cosine and secant.
  • Familiarity with algebraic manipulation of fractions.
  • Knowledge of trigonometric identities and their applications.
  • Ability to interpret and simplify mathematical expressions.
NEXT STEPS
  • Study trigonometric identities, focusing on the relationship between cosine and secant.
  • Practice simplifying other trigonometric expressions using similar techniques.
  • Explore the unit circle and its relevance to trigonometric functions.
  • Learn about the graphical representation of trigonometric functions and their transformations.
USEFUL FOR

Students learning trigonometry, educators teaching mathematical concepts, and anyone seeking to improve their skills in simplifying trigonometric expressions.

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

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