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stepan [7]
2 years ago
6

Find the value of tanθ, if cosθ = 4/5 ; 0° ≤ θ< 90°

Mathematics
1 answer:
Montano1993 [528]2 years ago
4 0

Answer:

  • 3/4

Step-by-step explanation:

<u>Given </u>

  • cosθ = 4/5
  • 0° ≤ θ < 90°

<u>In the first quadrant both sine and cosine are positive, so as tangent.</u>

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