Trigonometry Examples

$\frac{13 π}{15}$

Step 1

Since the angle $\frac{13 π}{15}$ is in the second quadrant, subtract $\frac{13 π}{15}$ from $π$ .

$π - \frac{13 π}{15}$

Step 2

Simplify the result.

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Step 2.1

To write $π$ as a fraction with a common denominator, multiply by $\frac{15}{15}$ .

$π \cdot \frac{15}{15} - \frac{13 π}{15}$

Step 2.2

Combine fractions.

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Step 2.2.1

Combine $π$ and $\frac{15}{15}$ .

$\frac{π \cdot 15}{15} - \frac{13 π}{15}$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{π \cdot 15 - 13 π}{15}$

Step 2.3

Simplify the numerator.

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Step 2.3.1

Move $15$ to the left of $π$ .

$\frac{15 \cdot π - 13 π}{15}$

Step 2.3.2

Subtract $13 π$ from $15 π$ .

$\frac{2 π}{15}$