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

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

$\cot (θ) = - \sqrt{3}$

Step 4

Approximate the result.

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