Trigonometry Examples

$\frac{6}{5} π$

Step 1

Since the angle $π$ is in the third quadrant, subtract $π$ from $\frac{6}{5} \cdot π$ .

$\frac{6}{5} \cdot π - π$

Step 2

Simplify the result.

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Step 2.1

Combine $\frac{6}{5}$ and $π$ .

$\frac{6 π}{5} - π$

Step 2.2

To write $- π$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{6 π}{5} - π \cdot \frac{5}{5}$

Step 2.3

Combine fractions.

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Step 2.3.1

Combine $- π$ and $\frac{5}{5}$ .

$\frac{6 π}{5} + \frac{- π \cdot 5}{5}$

Step 2.3.2

Combine the numerators over the common denominator.

$\frac{6 π - π \cdot 5}{5}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply $5$ by $- 1$ .

$\frac{6 π - 5 π}{5}$

Step 2.4.2

Subtract $5 π$ from $6 π$ .

$\frac{π}{5}$