Trigonometry Examples

$(- 3, - 4)$

Step 1

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(- 3, - 4)$ , draw the triangle between the three points $(0, 0)$ , $(- 3, 0)$ , and $(- 3, - 4)$ .

Opposite : $- 4$

Adjacent : $- 3$

Step 2

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{- 4}{- 3}$ .

$\frac{- 4}{- 3}$

Step 3

Dividing two negative values results in a positive value.

$\tan (θ) = \frac{4}{3}$

Step 4

Approximate the result.

$\tan (θ) = \frac{4}{3} \approx 1.\overline{3}$