Step-by-step explanation:
[tex]( \sec(x) + \tan(x) )( \frac{1 - \sin(x) }{ \cos(x) } )[/tex]
[tex]( \frac{1}{ \cos(x) } + \frac{ \sin(x) }{ \cos(x) } )( \frac{1 - \sin(x) }{ \cos(x) } )[/tex]
[tex]( \frac{1 + \sin(x) }{ \cos(x) } )( \frac{1 - \sin(x) }{ \cos(x) } )[/tex]
[tex] \frac{1 - \sin {}^{2} (x) }{ \cos {}^{2} (x) } [/tex]
[tex] \frac{ \cos {}^{2} (x) }{ \cos {}^{2} (x) } [/tex]
[tex] = 1[/tex]
