write tan²A+tan⁴A in terms of sec
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note it should be Sec^4A-sec^2A = tan^2A+tan^4 A )
Sec^4A-sec^2A
= sec^2 A ( sec^2 A - 1)
= (tan^2 A + 1) tan ^2 A
= tan ^4 A + tan ^2 A
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