Start by identifying the hypotenuse of the right triangle. Then find the sides that are opposite and adjacent to ∠ A.
lsin A=24/25
lcos A=7/25
ltan A= 24/7
Practice makes perfect
For the given right triangle, we want to write the ratios for the sine, cosine, and tangent of ∠ A.
Let's start by identifying the hypotenuse of the triangle and the sides that are opposite and adjacent to ∠ A.
We see that the length of the hypotenuse is 25. The length of the side adjacent to ∠ A is 7 and the length of the side opposite to ∠ A is 24. With this information, we can find the desired ratios.
Ratio
Definition
Value
sin A
Length of leg opposite∠ A/Length of hypotenuse
24/25
cos A
Length of leg adjacent∠ A/Length of hypotenuse
7/25
tan A
Length of leg opposite∠ A/Length of leg adjacent∠ A
