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Answer 1

$(cos^{2}A-1) (cot^{2}A+1)\\\\(cos^{2}A-1) (\frac{sin^{2}A}{cos^{2}A}+1)\\\\(cos^{2}A-1) (\frac{sin^{2}A + cos^{2}A}{cos^{2}A})\\\\(cos^{2}A-1) (\frac{1}{cos^{2}A})\\\\sin^{2}A (\frac{1}{cos^{2}A})\\\\\frac{sin^{2}A}{cos^{2}A}\\\\tan^{2}A$

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