Hello!
The answer is: A. Tan(A)
Why?
Since it's a right triangle, we must remember the following trigonometric identities:
[tex]sin\alpha =\frac{opposite}{hypotenuse}\\\\cos\alpha =\frac{adjacent}{hypotenuse}\\\\tan\alpha=\frac{opposite}{adjacent}[/tex]
We are going to work with the tangent indentity, so:
If we are looking which a trigonometric ratio/relation which is equal to:
[tex]\frac{a}{c}[/tex]
Also, from the image we can see that:
[tex]opposite=a\\adjacent=c\\hypotenuse=b[/tex]
So, using the tangent identity, which is equal to:
[tex]tan(A)=\frac{opposite}{adjacent}=\frac{a}{c}[/tex]
So, the correct option is A. Tan(A)
Have a nice day!
