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1 + sin^2 a/cos^2 a = sec^2 a
cos^2 a/cos^2 a + sin^2 a/cos^2 a = sec^2 a
(cos^2 a + sin^2 a)/cos^2 a = sec^2 a
1/cos^2 a = sec^2 a
sec^2 a = sec^2 a [Q.E.D]
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