Question

practice with trigonometric ratios sp 26
fill in the blank. express your answer as a simplified ratio or whole number. use the \/\ key for a ratio.
$cos(a) = square$

Explanation:

Step1: Recall cosine definition

For angle $A$, $\cos(A) = \frac{\text{adjacent side}}{\text{hypotenuse}}$

Step2: Identify sides for $\cos(A)$

Adjacent to $A$: $36$, Hypotenuse: $39$
$\cos(A) = \frac{36}{39}$

Step3: Simplify the fraction

Divide numerator/denominator by 3: $\frac{36\div3}{39\div3} = \frac{12}{13}$

Answer:

$\frac{12}{13}$