Sec A(1 -sec A)(sec A + tan A)= 1

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1

sec A(1 -sec A)(sec A + tan A)= 1

2

The question should be like this
sec A(1 - sin A)(sec A + tan A) = 1
LHS = sec A(1 - sin A)(sec A + tan A)
image
= 1
Hence, sec A(1 - sin A)(sec A + tan A) = 1