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

Approximate the result.

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