saraharbs saraharbs
  • 16-05-2021
  • Mathematics
contestada

If θ is a second-quadrant angle and cosθ = - 2/3, then tanθ=

a. -2 (sqrt 5)/5
b. - (sqrt 5)/2
c. - (sqrt 5)/3

Respuesta :

msm555
msm555 msm555
  • 16-05-2021

Answer:

since in second quadrant cos θ is negative.

Cos θ=b/h=2/3

b=2

h=3

p=√(3²-2²)

p=√5

Now

Tan θ=p/b=√5/2

since in second quadrant tanθ is negative

so

Tanθ=-√5/2

b. - (sqrt 5)/2

Answer Link
Аноним Аноним
  • 28-06-2022

In second Quadrant cos is negative

  • cosØ=b/h=2/3

So

b=2 and h=3

Perpendicular

  • p²=h²-b²
  • p²=3²-2²
  • p²=5
  • p=√5

tanØ=-p/b =-√5/2

Answer Link

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