Trigonometry Examples

\frac{3 π}{4}

$\frac{3 π}{4}$

Step 1

Since the angle

\frac{3 π}{4}

$\frac{3 π}{4}$ is in the second quadrant, subtract

\frac{3 π}{4}

$\frac{3 π}{4}$ from

π

$π$ .

π - \frac{3 π}{4}

$π - \frac{3 π}{4}$

Step 2

Simplify the result.

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Step 2.1

To write

π

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

\frac{4}{4}

$\frac{4}{4}$ .

π \cdot \frac{4}{4} - \frac{3 π}{4}

$π \cdot \frac{4}{4} - \frac{3 π}{4}$

Step 2.2

Combine fractions.

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Step 2.2.1

Combine

π

$π$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{π \cdot 4}{4} - \frac{3 π}{4}

$\frac{π \cdot 4}{4} - \frac{3 π}{4}$

Step 2.2.2

Combine the numerators over the common denominator.

\frac{π \cdot 4 - 3 π}{4}

$\frac{π \cdot 4 - 3 π}{4}$

\frac{π \cdot 4 - 3 π}{4}

$\frac{π \cdot 4 - 3 π}{4}$

Step 2.3

Simplify the numerator.

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Step 2.3.1

Move

4

$4$ to the left of

π

$π$ .

\frac{4 \cdot π - 3 π}{4}

$\frac{4 \cdot π - 3 π}{4}$

Step 2.3.2

Subtract

3 π

$3 π$ from

4 π

$4 π$ .

\frac{π}{4}

$\frac{π}{4}$

\frac{π}{4}

$\frac{π}{4}$

\frac{π}{4}

$\frac{π}{4}$