Trigonometry Examples

$- \frac{π}{8}$

Step 1

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(- \frac{π}{8}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Move the leading negative in $- \frac{π}{8}$ into the numerator.

$\frac{- π}{8} \cdot \frac{180}{π}$

Step 2.2

Factor $π$ out of $- π$ .

$\frac{π \cdot - 1}{8} \cdot \frac{180}{π}$

Step 2.3

Cancel the common factor.

$\frac{π \cdot - 1}{8} \cdot \frac{180}{π}$

Step 2.4

Rewrite the expression.

$\frac{- 1}{8} \cdot 180$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Factor $4$ out of $8$ .

$\frac{- 1}{4 (2)} \cdot 180$

Step 3.2

Factor $4$ out of $180$ .

$\frac{- 1}{4 \cdot 2} \cdot (4 \cdot 45)$

Step 3.3

Cancel the common factor.

$\frac{- 1}{4 \cdot 2} \cdot (4 \cdot 45)$

Step 3.4

Rewrite the expression.

$\frac{- 1}{2} \cdot 45$

Step 4

Combine $\frac{- 1}{2}$ and $45$ .

$\frac{- 1 \cdot 45}{2}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $- 1$ by $45$ .

$\frac{- 45}{2}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{45}{2}$

Step 6

Convert to a decimal.

$- 22.5 °$