SecA-tanA/SecA+tanA=1-2SecAtanA+2Tan^2A
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Explanation:
Sec A - Tan A / Sec A + Tan A × Sec A - Tan A / Sec A - Tan A
= (Sec A - Tan A)² / (Sec A + Tan A)(Sec A - Tan A)
= (Sec A - Tan A)² / Sec²A - Tan²A
= Sec²A + Tan²A - 2 (Sec A × Tan A)
= 1 + Tan²A + Tan²A - 2 (Sec A × Tan A)
= 1 - 2 (Sec A × Tan A) + 2 Tan²A
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