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Solve y = 5/cos (x^2)? I asked this question and it was answered in terms of graph. I...

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vinihormis | eNotes Newbie

Posted April 30, 2013 at 10:53 PM via web

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Solve y = 5/cos (x^2)? I asked this question and it was answered in terms of graph. I would like to how to derive this?

 

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 1, 2013 at 3:38 AM (Answer #1)

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`y = 5/(cos^2 x)` represents a relation between y and x. This is not something that can be solved, unless x or y has to be determined for a particular value of y or x repectively.

Examples of such equations are `5 = 5/(cos^2x)` . The solution to this is `cos^2x = 1`

=> `cos x = 1` and `cos x = -1`

=> `x = n*2*pi` and `pi + n*2*pi`

Similarly, an example of an equation where the value of x is given is: `y = 5/(cos^2 pi)`

=> y = 5/1

=> y = 1

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