Trigonometry Examples

π - \frac{π}{3}

$π - \frac{π}{3}$

Step 1

To write

π

$π$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

π \cdot \frac{3}{3} - \frac{π}{3}

$π \cdot \frac{3}{3} - \frac{π}{3}$

Step 2

Combine fractions.

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Step 2.1

Combine

π

$π$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{π \cdot 3}{3} - \frac{π}{3}

$\frac{π \cdot 3}{3} - \frac{π}{3}$

Step 2.2

Combine the numerators over the common denominator.

\frac{π \cdot 3 - π}{3}

$\frac{π \cdot 3 - π}{3}$

\frac{π \cdot 3 - π}{3}

$\frac{π \cdot 3 - π}{3}$

Step 3

Simplify the numerator.

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Step 3.1

Move

3

$3$ to the left of

π

$π$ .

\frac{3 \cdot π - π}{3}

$\frac{3 \cdot π - π}{3}$

Step 3.2

Subtract

π

$π$ from

3 π

$3 π$ .

\frac{2 π}{3}

$\frac{2 π}{3}$

\frac{2 π}{3}

$\frac{2 π}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{2 π}{3}

$\frac{2 π}{3}$

Decimal Form:

2.09439510 \dots

$2.09439510 \dots$

π - \frac{π}{3}

$π - \frac{π}{3}$

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