Question

find: \\( \cos a \\)
answer
\\( \frac { 44 } { 55 } \\) \\( \frac { 33 } { 55 } \\) \\( \frac { 44 } { 33 } \\) \\( \frac { 33 } { 44 } \\)

Explanation:

Step1: Recall the cosine formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For angle $A$, the adjacent side is $44$ and the hypotenuse is $55$.

Step2: Calculate $\cos A$

$\cos A=\frac{44}{55}$. Simplify the fraction by dividing both the numerator and the denominator by $11$. So, $\frac{44\div11}{55\div11}=\frac{4}{5}$.

Answer:

$\frac{44}{55}$