Question

what are the values of the three trigonometric ratios for angle l, in simplest form? sin(l) = cos(l) = tan(l) =

Explanation:

Step1: Recall trig - ratio definitions

$\sin(L)=\frac{opposite}{hypotenuse}$, $\cos(L)=\frac{adjacent}{hypotenuse}$, $\tan(L)=\frac{opposite}{adjacent}$

Step2: Identify sides for angle L

For $\angle L$, opposite = 20, adjacent = 15, hypotenuse = 25

Step3: Calculate trig - ratios

$\sin(L)=\frac{20}{25}=\frac{4}{5}$, $\cos(L)=\frac{15}{25}=\frac{3}{5}$, $\tan(L)=\frac{20}{15}=\frac{4}{3}$

Answer:

$\sin(L)=\frac{4}{5}$, $\cos(L)=\frac{3}{5}$, $\tan(L)=\frac{4}{3}$