Trigonometry Examples

$(\sqrt{5}, 2)$

Step 1

To find the $\cot (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(\sqrt{5}, 2)$ , draw the triangle between the three points $(0, 0)$ , $(\sqrt{5}, 0)$ , and $(\sqrt{5}, 2)$ .

Opposite : $2$

Adjacent : $\sqrt{5}$

Step 2

$\cot (θ) = \frac{Adjacent}{Opposite}$ therefore $\cot (θ) = \frac{\sqrt{5}}{2}$ .

$\frac{\sqrt{5}}{2}$

Step 3

Approximate the result.

$\cot (θ) = \frac{\sqrt{5}}{2} \approx 1.11803398$