Trigonometry Examples

$\frac{π}{12} = \frac{x (11 π)}{12}$

Step 1

Rewrite the equation as $\frac{x \cdot (11 π)}{12} = \frac{π}{12}$ .

$\frac{x \cdot (11 π)}{12} = \frac{π}{12}$

Step 2

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$x \cdot (11 π) = π$

Step 3

Remove parentheses.

$x \cdot 11 π = π$

Step 4

Divide each term in $x \cdot (11 π) = π$ by $11 π$ and simplify.

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Step 4.1

Divide each term in $x \cdot (11 π) = π$ by $11 π$ .

$\frac{x \cdot (11 π)}{11 π} = \frac{π}{11 π}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $11$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{x \cdot (11 π)}{11 π} = \frac{π}{11 π}$

Step 4.2.1.2

Rewrite the expression.

$\frac{x \cdot (π)}{π} = \frac{π}{11 π}$

Step 4.2.2

Cancel the common factor of $π$ .

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Step 4.2.2.1

Cancel the common factor.

$\frac{x \cdot π}{π} = \frac{π}{11 π}$

Step 4.2.2.2

Divide $x$ by $1$ .

$x = \frac{π}{11 π}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $π$ .

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Step 4.3.1.1

Cancel the common factor.

$x = \frac{π}{11 π}$

Step 4.3.1.2

Rewrite the expression.

$x = \frac{1}{11}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{11}$

Decimal Form:

$x = 0.\overline{09}$