Trigonometry Examples

$1000 (\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2})$

Step 1

Combine the numerators over the common denominator.

$1000 \frac{\sqrt{2} + \sqrt{2}}{2}$

Step 2

Add $\sqrt{2}$ and $\sqrt{2}$ .

$1000 \frac{2 \sqrt{2}}{2}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $1000$ .

$2 (500) \frac{2 \sqrt{2}}{2}$

Step 3.2

Cancel the common factor.

$2 \cdot 500 \frac{2 \sqrt{2}}{2}$

Step 3.3

Rewrite the expression.

$500 (2 \sqrt{2})$

Step 4

Multiply $2$ by $500$ .

$1000 \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$1000 \sqrt{2}$

Decimal Form:

$1414.21356237 \dots$