Trigonometry Examples

$\cos (30) \cdot 8$

Step 1

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

$\frac{\sqrt{3}}{2} \cdot 8$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $8$ .

$\frac{\sqrt{3}}{2} \cdot (2 (4))$

Step 2.2

Cancel the common factor.

$\frac{\sqrt{3}}{2} \cdot (2 \cdot 4)$

Step 2.3

Rewrite the expression.

$\sqrt{3} \cdot 4$

Step 3

Move $4$ to the left of $\sqrt{3}$ .

$4 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{3}$

Decimal Form:

$6.92820323 \dots$