# Simplify secA(1 –

By trigonometric identities, sec A = 1/cos A & tan A = sin A/cos A

Using these identities, we have

sec A (1 – sin A)(sec A + tan A) =

sec A (1 – sin A)(sec A + tan A) =

sec A (1 – sin A)(sec A + tan A) =

sec A (1 – sin A)(sec A + tan A) =

sec A (1 – sin A)(sec A + tan A) = [, sin2 A + cos2 A = 1 cos2 A = 1 – sin2 A]

sec A (1 – sin A)(sec A + tan A) = 1

Thus, sec A (1 – sin A)(sec A + tan A) = 1.

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