Trigonometry Examples

$(- 4, - 5)$ , $(1, - 2)$

Step 1

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step 2

Substitute the actual values of the points into the distance formula.

$\sqrt{{(1 - (- 4))}^{2} + {((- 2) - (- 5))}^{2}}$

Step 3

Simplify.

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Step 3.1

Multiply $- 1$ by $- 4$ .

$\sqrt{{(1 + 4)}^{2} + {((- 2) - (- 5))}^{2}}$

Step 3.2

Add $1$ and $4$ .

$\sqrt{5^{2} + {((- 2) - (- 5))}^{2}}$

Step 3.3

Raise $5$ to the power of $2$ .

$\sqrt{25 + {((- 2) - (- 5))}^{2}}$

Step 3.4

Multiply $- 1$ by $- 5$ .

$\sqrt{25 + {(- 2 + 5)}^{2}}$

Step 3.5

Add $- 2$ and $5$ .

$\sqrt{25 + 3^{2}}$

Step 3.6

Raise $3$ to the power of $2$ .

$\sqrt{25 + 9}$

Step 3.7

Add $25$ and $9$ .

$\sqrt{34}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{34}$

Decimal Form:

$5.83095189 \dots$

Step 5