Precalculus Examples

$(3, 3)$

Step 1

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(3, 3)$ , draw the triangle between the three points $(0, 0)$ , $(3, 0)$ , and $(3, 3)$ .

Opposite : $3$

Adjacent : $3$

Step 2

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{3}{3}$ .

$\frac{3}{3}$

Step 3

Divide $3$ by $3$ .

$\tan (θ) = 1$