Question

find: cos a
the figure is not drawn to scale.
answer
\\(\frac{42}{40}\\)
\\(\frac{42}{58}\\)
\\(\frac{40}{58}\\)
\\(\frac{40}{42}\\)

Explanation:

Step1: Recall cosine definition

In a right triangle, $\cos(\theta) = \frac{\text{adjacent side to } \theta}{\text{hypotenuse}}$.

Step2: Identify sides for angle A

For angle A, adjacent side is 40, hypotenuse is 58.

Step3: Calculate $\cos A$

$\cos A = \frac{40}{58}$.

Answer:

$\frac{40}{58}$ (corresponding to the option with $\frac{40}{58}$)