Trigonometry Examples

$6 x = \frac{2 π}{6}$

Step 1

Reduce the expression $\frac{2 π}{6}$ by cancelling the common factors.

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Step 1.1

Factor $2$ out of $2 π$ .

$6 x = \frac{2 (π)}{6}$

Step 1.2

Factor $2$ out of $6$ .

$6 x = \frac{2 π}{2 \cdot 3}$

Step 1.3

Cancel the common factor.

$6 x = \frac{2 π}{2 \cdot 3}$

Step 1.4

Rewrite the expression.

$6 x = \frac{π}{3}$

Step 2

Divide each term in $6 x = \frac{π}{3}$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 x = \frac{π}{3}$ by $6$ .

$\frac{6 x}{6} = \frac{\frac{π}{3}}{6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{\frac{π}{3}}{6}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{\frac{π}{3}}{6}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{π}{3} \cdot \frac{1}{6}$

Step 2.3.2

Multiply $\frac{π}{3} \cdot \frac{1}{6}$ .

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Step 2.3.2.1

Multiply $\frac{π}{3}$ by $\frac{1}{6}$ .

$x = \frac{π}{3 \cdot 6}$

Step 2.3.2.2

Multiply $3$ by $6$ .

$x = \frac{π}{18}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{π}{18}$

Decimal Form:

$x = 0.17453292 \dots$