Trigonometry Examples

$(- 8, - 9)$

Step 1

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(- 8, - 9)$ , draw the triangle between the three points $(0, 0)$ , $(- 8, 0)$ , and $(- 8, - 9)$ .

Opposite : $- 9$

Adjacent : $- 8$

Step 2

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{- 9}{- 8}$ .

$\frac{- 9}{- 8}$

Step 3

Dividing two negative values results in a positive value.

$\tan (θ) = \frac{9}{8}$

Step 4

Approximate the result.

$\tan (θ) = \frac{9}{8} \approx 1.125$