Trigonometry Examples

$\tan (60) = \frac{x}{30} \cdot 30$

Step 1

Rewrite the equation as $\frac{x}{30} \cdot 30 = \tan (60)$ .

$\frac{x}{30} \cdot 30 = \tan (60)$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $30$ .

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Step 2.1.1

Cancel the common factor.

$\frac{x}{30} \cdot 30 = \tan (60)$

Step 2.1.2

Rewrite the expression.

$x = \tan (60)$

Step 3

Simplify the right side.

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Step 3.1

The exact value of $\tan (60)$ is $\sqrt{3}$ .

$x = \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt{3}$

Decimal Form:

$x = 1.73205080 \dots$