Question

(Sec A + tan A ) ( 1- sin A ) =

Answer 1

Answer:

$( \sec( a) + \tan(a) )(1 - \sin(a) )$

$\sec(a) - \sec(a) \sin(a) + \tan(a) - \tan(a \sin(a) )$

$\sec(a) - \frac{ \sin(a) }{ \cos(a) } + \tan(a) - \frac{ { \sin(a) }^{2} }{ \cos(a) }$

$\sec(a) + \tan(a) - \tan(a) - \frac{ { \sin(a) }^{2} }{ \cos(a) }$

$\sec(a ) - \frac{ { \sin(a) }^{2} }{ \cos(a) }$

$\frac{1}{ \cos(a) } - \frac{ { \sin(a) }^{2} }{ \cos(a) }$

$\frac{ { \cos(a) }^{2} }{ \cos(a) }$

$\cos(a)$

Hope it helps...