(secA-tanA)^2=1-sinA/1+sinA
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Solution==>>
solving Right hand side
(1-sinA)/(1+sinA)
=(1-sinA)(1-sinA)/(1+sinA)(1-sinA)
=(1-sinA)²/(1-sin²A)
=(1-sinA)²/cos²A
={(1-sinA)/cosA}²
={(1/cosA)-(sinA/cosA)}²
={secA-tanA}²..........proved
solving Right hand side
(1-sinA)/(1+sinA)
=(1-sinA)(1-sinA)/(1+sinA)(1-sinA)
=(1-sinA)²/(1-sin²A)
=(1-sinA)²/cos²A
={(1-sinA)/cosA}²
={(1/cosA)-(sinA/cosA)}²
={secA-tanA}²..........proved
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