Question

What are the values of the three trigonometric ratios for angle L, in simplest form?

Answer 1

The correct answer's are:

sin(L) = 4/5

cos(L) = 3/5

tan(L) = 4/3

Answer 2

Answer:  Sin L =$\frac{4}{5}$ and CosL=$\frac{3}{5}$ and Tan L=$\frac{4}{3}$

Step-by-Step Explanation:

Since we have given that

Consider, ΔLMN,

LM = 15

MN = 20

NL= 25

$\sin L=\frac{Perpendicular}{Hypotenuse}\\\\\sin L=\frac{20}{25}=\frac{4}{5}$

And,

$\cos L=\frac{Base}{Hypotenuse}\\\\\cos L=\frac{15}{25}=\frac{3}{5}$

And,

$\tan L=\frac{Perpendicular}{base}\\\\\tan L=\frac{20}{15}=\frac{4}{3}$

Hence,

Sin L =$\frac{4}{5}$ and CosL=$\frac{3}{5}$ and Tan L=$\frac{4}{3}$