Trigonometry Examples

$(5, 2)$

Step 1

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(5, 2)$ , draw the triangle between the three points $(0, 0)$ , $(5, 0)$ , and $(5, 2)$ .

Opposite : $2$

Adjacent : $5$

Step 2

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{2}{5}$ .

$\frac{2}{5}$

Step 3

Approximate the result.

$\tan (θ) = \frac{2}{5} \approx 0.4$