Trigonometry Examples

$2 π + \frac{π}{4}$

Step 1

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

$2 π \cdot \frac{4}{4} + \frac{π}{4}$

Step 2

Combine fractions.

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Step 2.1

Combine $2 π$ and $\frac{4}{4}$ .

$\frac{2 π \cdot 4}{4} + \frac{π}{4}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{2 π \cdot 4 + π}{4}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $4$ by $2$ .

$\frac{8 π + π}{4}$

Step 3.2

Add $8 π$ and $π$ .

$\frac{9 π}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9 π}{4}$

Decimal Form:

$7.06858347 \dots$