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Trigonometry Examples

$- 1 - 2 i$

Step 1

Use the formula $| a + b i | = \sqrt{a^{2} + b^{2}}$ to find the magnitude.

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

Step 2

Raise $- 1$ to the power of $2$ .

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

Step 3

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

$\sqrt{1 + 4}$

Step 4

Add $1$ and $4$ .

$\sqrt{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$