Consider the right triangle below. Find \tan (A) and \tan (B) .

Step 1: Recall the definition of the \tan
DEFINITION: The tangent (tan) of an angle in a right triangle is a ratio. It is
the length of the opposite leg (opp) divided by the length of
the adjacent leg (adj).
\tan = \frac{opp}{adj}
Step 2: Take any one acute angle (A or B) and apply the \tan rule.
EXAMPLE: Take A angle
Opposite side of angle A = CB = a
Adjacent side of angle A = AC = b
\tan = \frac{a}{b}
Step 3: In the same way apply the \tan rule to another acute angle.
EXAMPLE: Take B angle
Opposite side of angle B = AC = b
Adjacent side of angle B = BC = a
\tan = \frac{b}{a}