Respuesta :

mhanifa

Answer:

  • 3/4

Step-by-step explanation:

Given

  • cosθ = 4/5
  • 0° ≤ θ < 90°

In the first quadrant both sine and cosine are positive, so as tangent.

  • tanθ = sinθ / cosθ =
  • [tex]\sqrt{1 - cos^2}[/tex]θ / cosθ =
  • [tex]\sqrt{1 - (4/5)^2}[/tex] / 4/5 =
  • [tex]\sqrt{9/25}[/tex] / 4/5 =
  • 3/5*5/4 =
  • 3/4

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