Trigonometry Examples

$(- \sqrt{3}, - 1)$

Step 1

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

Opposite : $- 1$

Adjacent : $- \sqrt{3}$

Step 2

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

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

Step 3

Simplify $\cot (θ)$ .

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Step 3.1

Dividing two negative values results in a positive value.

$\cot (θ) = \frac{\sqrt{3}}{1}$

Step 3.2

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

$\cot (θ) = \sqrt{3}$

Step 4

Approximate the result.

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