Trigonometry Examples

$(- 7, 24)$

Step 1

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(- 7, 24)$ , draw the triangle between the three points $(0, 0)$ , $(- 7, 0)$ , and $(- 7, 24)$ .

Opposite : $24$

Adjacent : $- 7$

Step 2

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{24}{- 7}$ .

$\frac{24}{- 7}$

Step 3

Move the negative in front of the fraction.

$\tan (θ) = - \frac{24}{7}$

Step 4

Approximate the result.

$\tan (θ) = - \frac{24}{7} \approx - 3.\overline{428571}$