Trigonometry Examples

$\frac{5 π}{4}$

Step 1

Since the angle $π$ is in the third quadrant, subtract $π$ from $\frac{5 π}{4}$ .

$\frac{5 π}{4} - π$

Step 2

Simplify the result.

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Step 2.1

To write $- π$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{5 π}{4} - π \cdot \frac{4}{4}$

Step 2.2

Combine fractions.

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Step 2.2.1

Combine $- π$ and $\frac{4}{4}$ .

$\frac{5 π}{4} + \frac{- π \cdot 4}{4}$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{5 π - π \cdot 4}{4}$

Step 2.3

Simplify the numerator.

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Step 2.3.1

Multiply $4$ by $- 1$ .

$\frac{5 π - 4 π}{4}$

Step 2.3.2

Subtract $4 π$ from $5 π$ .

$\frac{π}{4}$