Trigonometry Examples

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

Step 1

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

Opposite : $\sqrt{2}$

Adjacent : $\sqrt{2}$

Step 2

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

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

Step 3

Cancel the common factor of $\sqrt{2}$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$\cot (θ) = 1$