Question

sec A (1 - sin A) (sec A + tan A) = 1.​ Ans me plz​

Answer 1

Answer:

$LHS$

$sec A (1 - sin A) (sec A + tan A)$

$\frac{1}{ \cos \: A} (1 - \sin \: A)( \frac{1}{ \cos \:A } + \frac{ \sin \: A }{ \cos \: A } )$

$(\frac{1 - \sin \: A }{ \cos \: A } )( \frac{1 + \sin \: A }{ \cos \:A })$

$\frac{1 - { \sin }^{2}A }{ { \cos }^{2}A }$

$\frac{ \ { \cos}^{2} A }{ { \cos }^{2} A} = 1$

RHS = 1 = LHS

Answer 2

Answer:

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