Question

fill in the blank. ? (a) = $\frac{4}{5}$ hint: remember sohcahtoa.

Explanation:

Step1: Recall trigonometric ratios

SOH - Sine = Opposite / Hypotenuse, CAH - Cosine = Adjacent / Hypotenuse, TOA - Tangent = Opposite / Adjacent. In the right - triangle, for angle A, the adjacent side to angle A is 4 and the hypotenuse is 5.

Step2: Identify the ratio

The ratio $\frac{4}{5}$ is the cosine ratio since cos(A)=$\frac{\text{Adjacent}}{\text{Hypotenuse}}$. Here, the adjacent side to angle A is 4 and the hypotenuse is 5.

Answer:

$\cos$