saraharbs saraharbs
  • 17-05-2021
  • Mathematics
contestada

Find cotθ if θ terminates in Quadrant III and secθ = 2

a. - (sqrt 3)/3
b. (sqrt 3)/3
c. - sqrt 3
d. sqrt 3

Respuesta :

msm555
msm555 msm555
  • 17-05-2021

Answer:

we have

secθ = 2

[tex] \frac{1}{cos θ} [/tex]=2

Cosθ =[tex] \frac{1}{2 }[/tex]

[tex] \frac{b}{h }=\frac{1}{2 }[/tex]

b=1

h=2

p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]

again

Cot θ=[tex] \frac{b}{p }[/tex]

Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]

Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]

It lies in Quadrant III cot is positive

Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]

b. (sqrt 3)/3

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