Trigonometry Examples

$(- 3, 7)$

Step 1

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(- 3, 7)$ , draw the triangle between the three points $(0, 0)$ , $(- 3, 0)$ , and $(- 3, 7)$ .

Opposite : $7$

Adjacent : $- 3$

Step 2

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{7}{- 3}$ .

$\frac{7}{- 3}$

Step 3

Move the negative in front of the fraction.

$\tan (θ) = - \frac{7}{3}$

Step 4

Approximate the result.

$\tan (θ) = - \frac{7}{3} \approx - 2.\overline{3}$