lydrosebud1
lydrosebud1 lydrosebud1
  • 25-04-2018
  • Mathematics
contestada

(20 pts). If g(t) = sec (t), what is g(-3 pi)?

A) -1
B) 0
C) 1
D) undefined

Respuesta :

LammettHash
LammettHash LammettHash
  • 25-04-2018
[tex]\sec t=\dfrac1{\cos t}[/tex]

and

[tex]\cos(n\pi)=(-1)^n[/tex]

for any integer [tex]n[/tex]. With [tex]n=-3[/tex], we get [tex]\cos(-3\pi)=(-1)^{-3}=-1[/tex], so

[tex]\sec(-3\pi)=\dfrac1{-1}=-1[/tex]
Answer Link
Аноним Аноним
  • 03-12-2018

\sec t=\dfrac1{\cos t}

and

\cos(n\pi)=(-1)^n

for any integer n. With n=-3, we get \cos(-3\pi)=(-1)^{-3}=-1, so

\sec(-3\pi)=\dfrac1{-1}=-1

Answer Link

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