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Which statements are true about the graph of f(x) = sec(x) ?

Select each correct answer.

Which statements are true about the graph of fx secx Select each correct answer class=

Respuesta :

Edufirst

Answer:

              [tex]\large\boxed{\text{The graph will go through the point }(\pi /3,2)}[/tex]

Explanation:

The trigonometric function sec(x) is equal to 1/cos(x).

Hence, f(x) = sec(x)  is equal to f(x) = 1/cos(x).

  • [tex]\pi /3[/tex] is one of the common angles for which the value of trigonometric functions you should know:

          [tex]cos(\pi /3)=1/2[/tex]

Therefore:

             [tex]f(\pi /3)=1/cos(\pi /3)=1/(1/2)=2[/tex]

Hence, the graph will go through the point [tex](\pi /3,2)[/tex].

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