markertbayman markertbayman
  • 27-10-2020
  • Mathematics
contestada

How do you fully simplify (cot(t)+tan(t))÷sec(−t) ?

Respuesta :

Wolfyy
Wolfyy Wolfyy
  • 27-10-2020

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!

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