Trigonometry Examples

$\tan (\frac{2 π}{7}) = \frac{a}{6}$

Step 1

Rewrite the equation as $\frac{a}{6} = \tan (\frac{2 π}{7})$ .

$\frac{a}{6} = \tan (\frac{2 π}{7})$

Step 2

Multiply both sides of the equation by $6$ .

$6 \frac{a}{6} = 6 \tan (\frac{2 π}{7})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $6$ .

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Step 3.1.1.1

Cancel the common factor.

$6 \frac{a}{6} = 6 \tan (\frac{2 π}{7})$

Step 3.1.1.2

Rewrite the expression.

$a = 6 \tan (\frac{2 π}{7})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $6 \tan (\frac{2 π}{7})$ .

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Step 3.2.1.1

Evaluate $\tan (\frac{2 π}{7})$ .

$a = 6 \cdot 1.25396033$

Step 3.2.1.2

Multiply $6$ by $1.25396033$ .

$a = 7.52376202$