secθ/cosθ can not be written as
1/cos2Θ
cos2Θ
sec2Θ -----> I know it can be written as this, but Im not sure about the other two

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im pretty sure its the first one

I thought that too, but my friend said it was wrong.

well sec is 1/cos and cos is cos/1 so i dont see how cos can end up in the denominator..

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