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The value of cos 45 in a right angle triangle is 1/√2.

What is the trigonometry ratio?

The trigonometry ratios are ratios that can be used to determine the side and angles of a triangle depending on the known parameter. The basic trigonometry ratios are denoted by the acronym: SOH CAH TOA

i.e.

  • Sin θ = opp/hyp
  • Cos θ = adj/hyp
  • Tan θ = opp/adj

From the given diagram, we are to find the Cos 45°

i.e.

θ = 45°

Let's recall the angle 45 45 90 theorem that states that right angles have the following values for the sides:

  • hypotenuse = √2
  • opposite = 1
  • adjacent = 1

Since

Cos θ = adj/hyp

Cos 45 = 1/√2

Learn more about trigonometry functions here:

https://brainly.com/question/24349828

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