Trigonometry Examples

$\tan (30) (81)$

Step 1

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

$\frac{\sqrt{3}}{3} \cdot 81$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $81$ .

$\frac{\sqrt{3}}{3} \cdot (3 (27))$

Step 2.2

Cancel the common factor.

$\frac{\sqrt{3}}{3} \cdot (3 \cdot 27)$

Step 2.3

Rewrite the expression.

$\sqrt{3} \cdot 27$

Step 3

Move $27$ to the left of $\sqrt{3}$ .

$27 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$27 \sqrt{3}$

Decimal Form:

$46.76537180 \dots$