Trigonometry Examples

$(1, 2)$

Step 1

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(1, 2)$ , draw the triangle between the three points $(0, 0)$ , $(1, 0)$ , and $(1, 2)$ .

Opposite : $2$

Adjacent : $1$

Step 2

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{2}{1}$ .

$\frac{2}{1}$

Step 3

Divide $2$ by $1$ .

$\tan (θ) = 2$