Precalculus Examples

$x = 10 \cos (30)$

Step 1

The exact value of $\cos (30)$ is $\frac{\sqrt{3}}{2}$ .

$x = 10 \frac{\sqrt{3}}{2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $10$ .

$x = 2 (5) \frac{\sqrt{3}}{2}$

Step 2.2

Cancel the common factor.

$x = 2 \cdot 5 \frac{\sqrt{3}}{2}$

Step 2.3

Rewrite the expression.

$x = 5 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = 5 \sqrt{3}$

Decimal Form:

$x = 8.66025403 \dots$