Trigonometry Examples

$\frac{5 π}{4} + 2 π (1)$

Step 1

Multiply $2$ by $1$ .

$\frac{5 π}{4} + 2 π$

Step 2

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

$\frac{5 π}{4} + 2 π \cdot \frac{4}{4}$

Step 3

Combine fractions.

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Step 3.1

Combine $2 π$ and $\frac{4}{4}$ .

$\frac{5 π}{4} + \frac{2 π \cdot 4}{4}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{5 π + 2 π \cdot 4}{4}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $4$ by $2$ .

$\frac{5 π + 8 π}{4}$

Step 4.2

Add $5 π$ and $8 π$ .

$\frac{13 π}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{13 π}{4}$

Decimal Form:

$10.21017612 \dots$