Trigonometry Examples

$\frac{7}{4} π$

Step 1

Since the angle $\frac{7}{4} \cdot π$ is in the fourth quadrant, subtract $\frac{7}{4} \cdot π$ from $2 π$ .

$2 π - \frac{7}{4} \cdot π$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Combine $π$ and $\frac{7}{4}$ .

$2 π - \frac{π \cdot 7}{4}$

Step 2.1.2

Move $7$ to the left of $π$ .

$2 π - \frac{7 π}{4}$

Step 2.2

To write $2 π$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$2 π \cdot \frac{4}{4} - \frac{7 π}{4}$

Step 2.3

Combine fractions.

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Step 2.3.1

Combine $2 π$ and $\frac{4}{4}$ .

$\frac{2 π \cdot 4}{4} - \frac{7 π}{4}$

Step 2.3.2

Combine the numerators over the common denominator.

$\frac{2 π \cdot 4 - 7 π}{4}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply $4$ by $2$ .

$\frac{8 π - 7 π}{4}$

Step 2.4.2

Subtract $7 π$ from $8 π$ .

$\frac{π}{4}$