To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.
[tex]\sin x = \frac{O}{H}[/tex]
[tex]\cos x = \frac{A}{H}[/tex]
[tex]\tan x = \frac{O}{A}[/tex]
where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.
[tex]\bold{\sin x = \frac{f}{d}}[/tex]
[tex]\bold{\cos x = \frac{e}{d}}[/tex]
[tex]\bold{\tan x = \frac{f}{e}}[/tex]
