C-09-Q090mediumsingle_mcq1−sinA1+sinA=?\sqrt{\dfrac{1 - \sin A}{1 + \sin A}} = ?1+sinA1−sinA=?asecA−tanA\sec A - \tan AsecA−tanAbsecA+tanA\sec A + \tan AsecA+tanAccosecA−cotA\operatorname{cosec} A - \cot AcosecA−cotAdcotA\cot AcotAব্যাখ্যাMultiply numerator and denominator inside the root by (1−sinA)(1-\sin A)(1−sinA): (1−sinA)21−sin2A=(1−sinA)2cos2A=1−sinAcosA\sqrt{\dfrac{(1-\sin A)^2}{1-\sin^2 A}} = \sqrt{\dfrac{(1-\sin A)^2}{\cos^2 A}} = \dfrac{1-\sin A}{\cos A}1−sin2A(1−sinA)2=cos2A(1−sinA)2=cosA1−sinA. This splits into secA−tanA\sec A - \tan AsecA−tanA.