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
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