Trigonometry Examples

tan (60)

$\tan (60)$

Step 1

Find the value using the definition of tangent.

tan (60) = \frac{opposite}{adjacent}

$\tan (60) = \frac{opposite}{adjacent}$

Step 2

Substitute the values into the definition.

tan (60) = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}

$\tan (60) = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}$

Step 3

Simplify the result.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

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

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

Step 3.2

Cancel the common factor of

2

$2$ .

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Step 3.2.1

Cancel the common factor.

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

Step 3.2.2

Rewrite the expression.

$\sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3}$

Decimal Form:

$1.73205080 \dots$

Step 5