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

User Shiju
by
8.1k points

1 Answer

2 votes

Answer:

  • 3/4

Explanation:

Given

  • cosθ = 4/5
  • 0° ≤ θ < 90°

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

  • tanθ = sinθ / cosθ =

  • √(1 - cos^2)θ / cosθ =

  • √(1 - (4/5)^2) / 4/5 =

  • √(9/25) / 4/5 =
  • 3/5*5/4 =
  • 3/4
User RufusVS
by
8.7k points

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