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Zolol [24]
2 years ago
14

Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
7 0

Answer:

<u>3.7</u>

Step-by-step explanation:

<u>Given</u>

  • sin²θ + cos²θ = 1
  • sinθ = 0.27

<u>Solving for cos</u>θ

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

<u>Finding tan</u>θ

  • tanθ = sinθ / cosθ
  • tanθ = 0.27 / 0.0729
  • tanθ = <u>3.7</u>

<u>Verifying it lies in the range</u>

  • 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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