Trigonometry Examples

$\frac{π}{3.2}$

Step 1

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

$(\frac{π}{3.2}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Cancel the common factor.

$\frac{π}{3.2} \cdot \frac{180}{π}$

Step 2.2

Rewrite the expression.

$\frac{1}{3.2} \cdot 180$

Step 3

Factor $0.7\overline{9}$ out of $3.2$ .

$\frac{1}{0.7\overline{9} (4)} \cdot 180$

Step 4

Multiply $0.7\overline{9}$ by $4$ .

$\frac{1}{3.2} \cdot 180$

Step 5

Combine $\frac{1}{3.2}$ and $180$ .

$\frac{180}{3.2}$

Step 6

Divide $180$ by $3.2$ .

$56.25$

Step 7

Convert to a decimal.

$56.25 °$