Question

Its very very very URGENT?????????

prove that : (1 + sinA)/(1-sinA)= tan^2A +2 tan A sec A + sec^2A.

Answer 1

HEY MATE HERE IS YOUR ANSWER
$\frac{1 + \sin(a) }{1 - \sin(a) } \\ ratioalise \: the \:numerator \: \\ \frac{(1 + \sin(a))(1 + \sin(a) )}{(1 - \sin(a) )(1 + \sin(a)) } \\ \frac{ {(1 + \sin(a) )}^{2} }{(1 - { \sin(a) }^{2} } \\ \frac{(1 + { \sin(a) }^{2} + 2 \sin(a) )}{ { \cos(a) }^{2} } \\ \frac{1}{ { \cos(a) }^{2} } + \frac{ { \sin(a) }^{2} }{ { \cos(a) }^{2} } + \frac{2 \sin(a) }{ { \cos(a) }^{2} } \\ { \sec(a) }^{2} + { \tan(a) }^{2} + 2 \tan( a) \sec(a)$
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