Trigonometry Examples

$(1, \sqrt{3})$

Step 1

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(1, \sqrt{3})$ , draw the triangle between the three points $(0, 0)$ , $(1, 0)$ , and $(1, \sqrt{3})$ .

Opposite : $\sqrt{3}$

Adjacent : $1$

Step 2

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{\sqrt{3}}{1}$ .

$\frac{\sqrt{3}}{1}$

Step 3

Divide $\sqrt{3}$ by $1$ .

$\tan (θ) = \sqrt{3}$

Step 4

Approximate the result.

$\tan (θ) = \sqrt{3} \approx 1.7320508$