Question

identifying trig ratios (diagram), level 2
score: 3/5 penalty: 1 off
question
find the value of \\( \cos d \\) rounded to the nearest hundredth, if necessary.
answer attempt 1 out of 2
\\( \cos d= \\)

Explanation:

Step1: Recall the cosine ratio formula

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). For \(\angle D\), the adjacent side to \(\angle D\) is \(CD = 2\) and the hypotenuse \(BD=5\).

Step2: Calculate \(\cos D\)

Using the formula \(\cos D=\frac{CD}{BD}\), substitute \(CD = 2\) and \(BD = 5\). So, \(\cos D=\frac{2}{5}=0.4\)

Answer:

\(0.4\)