Precalculus Examples

$(5, 7)$

Step 1

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(5, 7)$ , draw the triangle between the three points $(0, 0)$ , $(5, 0)$ , and $(5, 7)$ .

Opposite : $7$

Adjacent : $5$

Step 2

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{7}{5}$ .

$\frac{7}{5}$

Step 3

Approximate the result.

$\tan (θ) = \frac{7}{5} \approx 1.4$