Q. 64.1( 27 Votes )

Simplify secA(1 –

Answer :

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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