Trigonometry Examples

$\frac{5 π}{4} \cdot \frac{180}{π}$

Step 1

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

$(\frac{5 π}{4} \cdot \frac{180}{π}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Factor $π$ out of $5 π$ .

$\frac{π \cdot 5}{4} \cdot \frac{180}{π} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

$\frac{π \cdot 5}{4} \cdot \frac{180}{π} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

$\frac{5}{4} \cdot 180 \cdot \frac{180}{π}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Factor $4$ out of $180$ .

$\frac{5}{4} \cdot (4 (45)) \cdot \frac{180}{π}$

Step 3.2

Cancel the common factor.

$\frac{5}{4} \cdot (4 \cdot 45) \cdot \frac{180}{π}$

Step 3.3

Rewrite the expression.

$5 \cdot 45 \cdot \frac{180}{π}$

Step 4

Multiply $5$ by $45$ .

$225 \cdot \frac{180}{π}$

Step 5

Multiply $225 \frac{180}{π}$ .

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Step 5.1

Combine $225$ and $\frac{180}{π}$ .

$\frac{225 \cdot 180}{π}$

Step 5.2

Multiply $225$ by $180$ .

$\frac{40500}{π}$

Step 6

$π$ is approximately equal to $3.14159265$ .

$\frac{40500}{3.14159265}$

Step 7

Convert to a decimal.

$12891.55039044 °$