In the triangle below, 4/5 represents which ratio?
Accepted Solution
A:
Answer: sin (C)
Explanation: In a right-angled triangle, special trig functions can be applied. These functions are as follows: sin (theta) = [tex] \frac{opposite}{hypotenuse} [/tex]
cos (theta) = [tex] \frac{adjacent}{hypotenuse} [/tex]
tan (theta) = [tex] \frac{opposite}{adjacent} [/tex]
Now, let's check the triangle we have: We have two options: First option: 5 is the hypotenuse of the triangle 4 is the side adjacent to angle B Therefore, we can apply the cos function: cos (B) = [tex] \frac{4}{5} [/tex]
Second option: 5 is the hypotenuse of the triangle 4 is the side opposite to angle C Therefore, we can apply the sin function: sin (C) = [tex] \frac{4}{5} [/tex]
Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.