Let's start by identifying the hypotenuse of the triangle and the sides that are opposite and adjacent to ∠ J.
We see that the length of the hypotenuse is 5. The length of the side adjacent to ∠ J is 3 and the length of the side opposite to ∠ J is 4. With this information, we can find the desired ratios.
Ratio
Definition
Value
sin J
Length of leg opposite to∠ J/Length of hypotenuse
4/5=0.80
cos J
Length of leg adjacent to∠ J/Length of hypotenuse
3/5= 0.60
tan J
Length of leg opposite to∠ J/Length of leg adjacent to∠ J
4/3≈ 1.33
Ratios for ∠ L
We already know the length of the hypotenuse is 5. Let's identify the sides that are opposite and adjacent to ∠ L.
The length of the side adjacent to ∠ L is 4 and the length of the side opposite to ∠ L is 3. With this information, we can find the desired ratios.
Ratio
Definition
Value
sin L
Length of leg opposite to∠ L/Length of hypotenuse
3/5=0.60
cos L
Length of leg adjacent to∠ L/Length of hypotenuse
4/5=0.80
tan L
Length of leg opposite to∠ L/Length of leg adjacent to∠ L
