Trigonometry Examples

$\frac{12 π}{7}$

Step 1

Since the angle $\frac{12 π}{7}$ is in the fourth quadrant, subtract $\frac{12 π}{7}$ from $2 π$ .

$2 π - \frac{12 π}{7}$

Step 2

Simplify the result.

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Step 2.1

To write $2 π$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$2 π \cdot \frac{7}{7} - \frac{12 π}{7}$

Step 2.2

Combine fractions.

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Step 2.2.1

Combine $2 π$ and $\frac{7}{7}$ .

$\frac{2 π \cdot 7}{7} - \frac{12 π}{7}$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{2 π \cdot 7 - 12 π}{7}$

Step 2.3

Simplify the numerator.

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Step 2.3.1

Multiply $7$ by $2$ .

$\frac{14 π - 12 π}{7}$

Step 2.3.2

Subtract $12 π$ from $14 π$ .

$\frac{2 π}{7}$