Trigonometry Examples

\frac{π}{3} + \frac{π}{6}

$\frac{π}{3} + \frac{π}{6}$

Step 1

To write

\frac{π}{3}

$\frac{π}{3}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{π}{3} \cdot \frac{2}{2} + \frac{π}{6}

$\frac{π}{3} \cdot \frac{2}{2} + \frac{π}{6}$

Step 2

Write each expression with a common denominator of

6

$6$ , by multiplying each by an appropriate factor of

1

$1$ .

Tap for more steps...

Step 2.1

Multiply

\frac{π}{3}

$\frac{π}{3}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{π \cdot 2}{3 \cdot 2} + \frac{π}{6}

$\frac{π \cdot 2}{3 \cdot 2} + \frac{π}{6}$

Step 2.2

Multiply

3

$3$ by

2

$2$ .

\frac{π \cdot 2}{6} + \frac{π}{6}

$\frac{π \cdot 2}{6} + \frac{π}{6}$

\frac{π \cdot 2}{6} + \frac{π}{6}

$\frac{π \cdot 2}{6} + \frac{π}{6}$

Step 3

Combine the numerators over the common denominator.

\frac{π \cdot 2 + π}{6}

$\frac{π \cdot 2 + π}{6}$

Step 4

Simplify the numerator.

Tap for more steps...

Step 4.1

Move

2

$2$ to the left of

π

$π$ .

\frac{2 \cdot π + π}{6}

$\frac{2 \cdot π + π}{6}$

Step 4.2

Add

2 π

$2 π$ and

π

$π$ .

\frac{3 π}{6}

$\frac{3 π}{6}$

\frac{3 π}{6}

$\frac{3 π}{6}$

Step 5

Cancel the common factor of

3

$3$ and

6

$6$ .

Tap for more steps...

Step 5.1

Factor

3

$3$ out of

3 π

$3 π$ .

\frac{3 (π)}{6}

$\frac{3 (π)}{6}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

Factor

3

$3$ out of

6

$6$ .

\frac{3 π}{3 \cdot 2}

$\frac{3 π}{3 \cdot 2}$

Step 5.2.2

Cancel the common factor.

\frac{3 π}{3 \cdot 2}

$\frac{3 π}{3 \cdot 2}$

Step 5.2.3

Rewrite the expression.

\frac{π}{2}

$\frac{π}{2}$

\frac{π}{2}

$\frac{π}{2}$

\frac{π}{2}

$\frac{π}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{π}{2}

$\frac{π}{2}$

Decimal Form:

1.57079632 \dots

$1.57079632 \dots$