Trigonometry Examples

\frac{7 π}{4}

$\frac{7 π}{4}$

Step 1

Since the angle

\frac{7 π}{4}

$\frac{7 π}{4}$ is in the fourth quadrant, subtract

\frac{7 π}{4}

$\frac{7 π}{4}$ from

2 π

$2 π$ .

2 π - \frac{7 π}{4}

$2 π - \frac{7 π}{4}$

Step 2

Simplify the result.

Tap for more steps...

Step 2.1

To write

2 π

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

\frac{4}{4}

$\frac{4}{4}$ .

2 π \cdot \frac{4}{4} - \frac{7 π}{4}

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

Step 2.2

Combine fractions.

Tap for more steps...

Step 2.2.1

Combine

2 π

$2 π$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{2 π \cdot 4}{4} - \frac{7 π}{4}

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

Step 2.2.2

Combine the numerators over the common denominator.

\frac{2 π \cdot 4 - 7 π}{4}

$\frac{2 π \cdot 4 - 7 π}{4}$

\frac{2 π \cdot 4 - 7 π}{4}

$\frac{2 π \cdot 4 - 7 π}{4}$

Step 2.3

Simplify the numerator.

Tap for more steps...

Step 2.3.1

Multiply

4

$4$ by

2

$2$ .

\frac{8 π - 7 π}{4}

$\frac{8 π - 7 π}{4}$

Step 2.3.2

Subtract

7 π

$7 π$ from

8 π

$8 π$ .

\frac{π}{4}

$\frac{π}{4}$

\frac{π}{4}

$\frac{π}{4}$

\frac{π}{4}

$\frac{π}{4}$

Enter YOUR Problem