Respuesta :

The value of cosine theta (cosθ) for the given triangle is determined as 4.58/5.

Complete side lengths of the triangle

For a given sine value of a triangle, the remaining side length of the triangle can be calculated as follows;

sinθ = opp/hypo = 2/5

  • opposite side = 2
  • hypotenuse side = 5

Adjacent side of the triangle

b² = 5² - 2²

b² = 21

b = 4.58

Value of cosine θ

Cosθ = adj/hypo

Cosθ = 4.58/5

Learn more about cosine here: https://brainly.com/question/24305408

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