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Hi, I was reading a review and I saw this equation,

[tex]A^2 = \frac{|B^2 - C^2|}{\sqrt{(1-sin^2(2x))}} - C^2 - B^2 - 2D^2[/tex]

Then at some point he writes: "expanding for large [itex]tan(x)[/itex], this expression becomes,

[tex]A^2 = -2(C^2 + D^2) + \frac{2}{tan^2(x)}(B^2 - C^2) + O(1/tan^4(x)) [/tex]

Could anybody explain how did this happen?

[tex]A^2 = \frac{|B^2 - C^2|}{\sqrt{(1-sin^2(2x))}} - C^2 - B^2 - 2D^2[/tex]

Then at some point he writes: "expanding for large [itex]tan(x)[/itex], this expression becomes,

[tex]A^2 = -2(C^2 + D^2) + \frac{2}{tan^2(x)}(B^2 - C^2) + O(1/tan^4(x)) [/tex]

Could anybody explain how did this happen?

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