Trigonometry Examples

$\frac{7}{8} π$

Step 1

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

$(\frac{7}{8} \cdot π) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Factor $π$ out of $\frac{7}{8} \cdot π$ .

$π \cdot \frac{7}{8} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

$π \cdot \frac{7}{8} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

$\frac{7}{8} \cdot 180$

Step 3

Combine $\frac{7}{8}$ and $180$ .

$\frac{7 \cdot 180}{8}$

Step 4

Multiply $7$ by $180$ .

$\frac{1260}{8}$

Step 5

Cancel the common factor of $1260$ and $8$ .

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Step 5.1

Factor $4$ out of $1260$ .

$\frac{4 (315)}{8}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $4$ out of $8$ .

$\frac{4 \cdot 315}{4 \cdot 2}$

Step 5.2.2

Cancel the common factor.

$\frac{4 \cdot 315}{4 \cdot 2}$

Step 5.2.3

Rewrite the expression.

$\frac{315}{2}$

Step 6

Convert to a decimal.

$157.5 °$