Answer:
[tex]\frac{\text{2csc(2t)}}{\text{sec(t)}}[/tex]
Step-by-step explanation:
[tex]\frac{\text{cot(t)+tan(t)}}{\text{sec(-t)}}[/tex]
~Use the identity [ sec(-x) = sec(x) ]
[tex]\frac{\text{cot(t)+tan(t)}}{\text{sec(t)}}[/tex]
~Simplify
[tex]\frac{\text{2csc(2t)}}{\text{sec(t)}}[/tex]
Best of Luck!