Precalculus Examples

$10 \cos (45)$

Step 1

The exact value of $\cos (45)$ is $\frac{\sqrt{2}}{2}$ .

$10 \frac{\sqrt{2}}{2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $10$ .

$2 (5) \frac{\sqrt{2}}{2}$

Step 2.2

Cancel the common factor.

$2 \cdot 5 \frac{\sqrt{2}}{2}$

Step 2.3

Rewrite the expression.

$5 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{2}$

Decimal Form:

$7.07106781 \dots$