Respuesta :

Answer:

3.7

Step-by-step explanation:

Given

  • sin²θ + cos²θ = 1
  • sinθ = 0.27

Solving for cosθ

  • cos²θ = 1 - sin²θ
  • cos²θ = 1 - (0.27)²
  • cos²θ = 0.0729

Finding tanθ

  • tanθ = sinθ / cosθ
  • tanθ = 0.27 / 0.0729
  • tanθ = 3.7

Verifying it lies in the range

  • θ = tan⁻¹ (3.7)
  • θ = 74.88°
  • Range is : 0 < θ < π/2 [or 0 < θ < 90°]
  • It lies in the range [Verified]

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