Question

what is the exact value of the cos m∠xyz?
1/4
17/32
1/8
11/16

Explanation:

Step1: Recall the Law of Cosines

The Law of Cosines formula is \(a^{2}=b^{2}+c^{2}-2bc\cos A\). In \(\triangle XYZ\), let \(a = 7\), \(b = 8\), \(c = 6\), and \(A=\angle XYZ\). Then \(7^{2}=6^{2}+8^{2}-2\times6\times8\times\cos\angle XYZ\).

Step2: Simplify the equation

$$
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$$

Step3: Solve for \(\cos\angle XYZ\)

\(\cos\angle XYZ=\frac{51}{96}=\frac{17}{32}\)

Answer:

\(\frac{17}{32}\)