Trigonometry Examples

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

Step 1

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

Opposite : $- \frac{\sqrt{2}}{2}$

Adjacent : $- \frac{\sqrt{2}}{2}$

Step 2

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

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

Step 3

Simplify $\cot (θ)$ .

Tap for more steps...

Step 3.1

Dividing two negative values results in a positive value.

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

Step 3.2

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

Tap for more steps...

Step 3.2.1

Cancel the common factor.

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

Step 3.2.2

Rewrite the expression.

$\cot (θ) = 1$