alexiscallahan1 alexiscallahan1
  • 03-04-2020
  • Mathematics
contestada

What is Cot(x) / cos(x) ?

Respuesta :

Leora03
Leora03 Leora03
  • 03-04-2020

Answer:

cosecx

Step-by-step explanation:

[tex] \frac{cotx}{cosx} \\ = \frac{1}{tanx} \div cosx \\ = (1 \div \frac{sinx}{cosx} ) \div cosx \\ = \frac{cosx}{sinx} \times \frac{1}{cosx} \\ = \frac{1}{sinx} \\ = cosecx[/tex]

Note that:

[tex]tanx = \frac{sinx}{cosx} [/tex]

[tex]cotx = \frac{1}{tanx} = \frac{cosx}{sinx} [/tex]

[tex]cosecx = \frac{1}{sinx} [/tex]

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