bm42400
bm42400 bm42400
  • 04-04-2019
  • Mathematics
contestada

Simplify the expression.
sec x/tan x

Simplify the expression sec xtan x class=

Respuesta :

carlosego
carlosego carlosego
  • 04-04-2019

Answer:

Option b

Step-by-step explanation:

We know that, by definition:

[tex]secx = \frac{1}{cosx}[/tex]

We also know that:

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

Applying these identities we can simplify the given expression

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

We know that, by definition:

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

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rabbitheadon32
rabbitheadon32 rabbitheadon32
  • 21-12-2020

Answer:

B on E2020

Have a Great Day!!! :)

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