Trigonometry Examples

$\tan (- \frac{π}{3})$

Step 1

Find the value using the definition of tangent.

$\tan (- \frac{π}{3}) = \frac{opposite}{adjacent}$

Step 2

Substitute the values into the definition.

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

Step 3

Simplify the result.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

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

Step 3.2

Cancel the common factor of $2$ .

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Step 3.2.1

Move the leading negative in $- \frac{\sqrt{3}}{2}$ into the numerator.

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

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