Trigonometry Examples

$\frac{7 π}{4} - 2 π$

Step 1

To write

$- 2 π$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$\frac{7 π}{4} - 2 π \cdot \frac{4}{4}$

Step 2

Combine fractions.

Tap for more steps...

Step 2.1

Combine

$- 2 π$ and

$\frac{4}{4}$ .

$\frac{7 π}{4} + \frac{- 2 π \cdot 4}{4}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{7 π - 2 π \cdot 4}{4}$

Step 3

Simplify the numerator.

Tap for more steps...

Step 3.1

Multiply

$4$ by

$- 2$ .

$\frac{7 π - 8 π}{4}$

Step 3.2

Subtract

$8 π$ from

$7 π$ .

$\frac{- π}{4}$

Step 4

Move the negative in front of the fraction.

$- \frac{π}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{π}{4}$

Decimal Form:

$- 0.78539816 \dots$