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