Prove that sec A (1 - sin A)(sec A + tan A) = '1.
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L.H.S=secA(1−sinA)(secA+tanA)=(secA−cosAsinA)(secA+tanA)
=(secA−tanA)(secA+tanA)
=sec2A−tan2A
Putting if tan2A+1=sec2A−
we get L.H.S=1+tan2A−tan2A=1
⇒L.H.S=R.H.S
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