Trigonometry Examples

(\sqrt{5}, 2)

$(\sqrt{5}, 2)$

Step 1

To find the

cot (θ)

$\cot (θ)$ between the x-axis and the line between the points

(0, 0)

$(0, 0)$ and

(\sqrt{5}, 2)

$(\sqrt{5}, 2)$ , draw the triangle between the three points

(0, 0)

$(0, 0)$ ,

(\sqrt{5}, 0)

$(\sqrt{5}, 0)$ , and

(\sqrt{5}, 2)

$(\sqrt{5}, 2)$ .

Opposite :

2

$2$

Adjacent :

\sqrt{5}

$\sqrt{5}$

Step 2

cot (θ) = \frac{Adjacent}{Opposite}

$\cot (θ) = \frac{Adjacent}{Opposite}$ therefore

cot (θ) = \frac{\sqrt{5}}{2}

$\cot (θ) = \frac{\sqrt{5}}{2}$ .

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

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

Step 3

Approximate the result.

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

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