Trigonometry Examples

$\frac{5}{8}$

Step 1

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

$(\frac{5}{8}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $8$ .

$\frac{5}{4 (2)} \cdot \frac{180}{π}$

Step 2.2

Factor $4$ out of $180$ .

$\frac{5}{4 \cdot 2} \cdot \frac{4 \cdot 45}{π}$

Step 2.3

Cancel the common factor.

$\frac{5}{4 \cdot 2} \cdot \frac{4 \cdot 45}{π}$

Step 2.4

Rewrite the expression.

$\frac{5}{2} \cdot \frac{45}{π}$

Step 3

Multiply $\frac{5}{2}$ by $\frac{45}{π}$ .

$\frac{5 \cdot 45}{2 π}$

Step 4

Multiply $5$ by $45$ .

$\frac{225}{2 π}$

Step 5

$π$ is approximately equal to $3.14159265$ .

$\frac{225}{2 (3.14159265)}$

Step 6

Convert to a decimal.

$35.80986219 °$