Precalculus Examples

$\frac{π}{14}$

Step 1

The complement of $\frac{π}{14}$ is the angle that when added to $\frac{π}{14}$ forms a right angle ( $\frac{π}{2}$ radians).

$\frac{π}{2} - \frac{π}{14}$

Step 2

To write $\frac{π}{2}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{π}{2} \cdot \frac{7}{7} - \frac{π}{14}$

Step 3

Write each expression with a common denominator of $14$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 3.1

Multiply $\frac{π}{2}$ by $\frac{7}{7}$ .

$\frac{π \cdot 7}{2 \cdot 7} - \frac{π}{14}$

Step 3.2

Multiply $2$ by $7$ .

$\frac{π \cdot 7}{14} - \frac{π}{14}$

Step 4

Combine the numerators over the common denominator.

$\frac{π \cdot 7 - π}{14}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Move $7$ to the left of $π$ .

$\frac{7 \cdot π - π}{14}$

Step 5.2

Subtract $π$ from $7 π$ .

$\frac{6 π}{14}$

Step 6

Cancel the common factor of $6$ and $14$ .

Tap for more steps...

Step 6.1

Factor $2$ out of $6 π$ .

$\frac{2 (3 π)}{14}$

Step 6.2

Cancel the common factors.

Tap for more steps...

Step 6.2.1

Factor $2$ out of $14$ .

$\frac{2 (3 π)}{2 (7)}$

Step 6.2.2

Cancel the common factor.

$\frac{2 (3 π)}{2 \cdot 7}$

Step 6.2.3

Rewrite the expression.

$\frac{3 π}{7}$