sec ∅ (1 - sin ∅ )(sec ∅ + tan ∅ ) = 1. ( prove L.H.S. = R.H.S. )
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Answer:
sec ∅ - sec ∅ sin ∅
= sec ∅ - sin∅ / cos∅
= sec ∅ - tan ∅
so multiplying with sec ∅ + tan ∅
we get sec^2 ∅ - tan^2 ∅
= 1 = RHS
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