Finding Exact Value of Cos A: Solutions Requested

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Homework Help Overview

The discussion revolves around finding the exact value of cos A from the equation sec A - cos A = 1/2, which involves trigonometric identities and algebraic manipulation.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants suggest substituting cos A with a variable and manipulating the equation to form a quadratic. There are discussions about multiplying through by cos A to simplify the equation and applying the quadratic formula.

Discussion Status

Several approaches have been proposed, including substitutions and algebraic transformations. Participants are actively engaging with the problem, but no consensus or final solution has been reached.

Contextual Notes

There is a sense of frustration among participants regarding the difficulty of the problem, indicating that it may be challenging for the class as a whole.

bob4000
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i and the rest of my class are finding it impossible to find the answer to this part of the question:

find the exact value of cos A from secA-cosA=1/2

thanks in advance
 
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Make the substitution [itex]\cos A =x[/itex], then the definition of secant and in the end you should get a quadratic equation in "x".

Daniel.
 
What you do is that you multiply everything by cosA, so that you get a quadratic, and then solve that in terms of cosA, to get A, simply inverse cos it, eg

(1/cosA) - cosA = 1/2
-cos^2A + 1 = (1/2)cosA
0 = cos^2A + 0.5cosA -1
Then solve with the quadratic formula:biggrin:

edit: dam,beaten to it...
 
merci beaucoup
 

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