Trigonometry Examples

$(- 12, 5)$

Step 1

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(- 12, 5)$ , draw the triangle between the three points $(0, 0)$ , $(- 12, 0)$ , and $(- 12, 5)$ .

Opposite : $5$

Adjacent : $- 12$

Step 2

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{5}{- 12}$ .

$\frac{5}{- 12}$

Step 3

Move the negative in front of the fraction.

$\tan (θ) = - \frac{5}{12}$

Step 4

Approximate the result.

$\tan (θ) = - \frac{5}{12} \approx - 0.41\overline{6}$