Question

4 which ratio represents the cosine of angle a in the right triangle below? 1) $\frac{3}{5}$ 2) $\frac{5}{3}$ 3) $\frac{4}{5}$ 4) $\frac{4}{3}$

Explanation:

Step1: Recall the cosine formula

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\)

Step2: Identify the sides relative to angle \(A\)

For angle \(A\), the adjacent side is \(3\) and the hypotenuse is \(5\)

Step3: Calculate \(\cos A\)

\(\cos A=\frac{3}{5}\)

Answer:

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