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