Trigonometry Examples

$π = \frac{2 π}{b}$

Step 1

Rewrite the equation as $\frac{2 π}{b} = π$ .

$\frac{2 π}{b} = π$

Step 2

Find the LCD of the terms in the equation.

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Step 2.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$b, 1$

Step 2.2

The LCM of one and any expression is the expression.

$b$

Step 3

Multiply each term in $\frac{2 π}{b} = π$ by $b$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{2 π}{b} = π$ by $b$ .

$\frac{2 π}{b} b = π b$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $b$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 π}{b} b = π b$

Step 3.2.1.2

Rewrite the expression.

$2 π = π b$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $π b = 2 π$ .

$π b = 2 π$

Step 4.2

Divide each term in $π b = 2 π$ by $π$ and simplify.

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Step 4.2.1

Divide each term in $π b = 2 π$ by $π$ .

$\frac{π b}{π} = \frac{2 π}{π}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $π$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{π b}{π} = \frac{2 π}{π}$

Step 4.2.2.1.2

Divide $b$ by $1$ .

$b = \frac{2 π}{π}$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Cancel the common factor of $π$ .

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Step 4.2.3.1.1

Cancel the common factor.

$b = \frac{2 π}{π}$

Step 4.2.3.1.2

Divide $2$ by $1$ .

$b = 2$