Question

express \\( \cos l \\) as a fraction in simplest terms.
answer
attempt 1 out of 3
\\( \cos l = \\)

Explanation:

Step1: Find the hypotenuse

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 3\), \(b=4\).
\(3^{2}+4^{2}=c^{2}\)
\(9 + 16=c^{2}\)
\(c^{2}=25\)
\(c = 5\)

Step2: Calculate \(\cos L\)

By the cosine definition \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\).
For \(\angle L\), the adjacent side is \(3\) and the hypotenuse is \(5\).
\(\cos L=\frac{3}{5}\)

Answer:

\(\frac{3}{5}\)