Trigonometry Examples

(\sqrt{2}, \sqrt{2})

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

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{2}, \sqrt{2})

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

(0, 0)

$(0, 0)$ ,

(\sqrt{2}, 0)

$(\sqrt{2}, 0)$ , and

(\sqrt{2}, \sqrt{2})

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

Opposite :

\sqrt{2}

$\sqrt{2}$

Adjacent :

\sqrt{2}

$\sqrt{2}$

Step 2

cot (θ) = \frac{Adjacent}{Opposite}

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

cot (θ) = \frac{\sqrt{2}}{\sqrt{2}}

$\cot (θ) = \frac{\sqrt{2}}{\sqrt{2}}$ .

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

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

Step 3

Cancel the common factor of

\sqrt{2}

$\sqrt{2}$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$\cot (θ) = 1$