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प्रश्न
Prove that `sqrt((1 + sin A)/(1 - sin A))` = sec A + tan A.
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उत्तर
LHS = `sqrt((1 + sin A)/(1 - sin A))`
= `sqrt((1 + sin A)/(1 - sin A) xx (1 + sin A)/(1 + sin A)`
= `sqrt((1 + sin A)^2/(1 - sin^2 A))`
= `sqrt((1 + sin A)^2/cos^2 A)`
= `(1 + sin A)/cos A`
= sec A + tan A = RHS
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