Trigonometry Examples

$\frac{9 π}{7}$

Step 1

Convert the radian measure to degrees.

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Step 1.1

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

$(\frac{9 π}{7}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of $π$ .

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Step 1.2.1

Factor $π$ out of $9 π$ .

$\frac{π \cdot 9}{7} \cdot \frac{180}{π}$

Step 1.2.2

Cancel the common factor.

$\frac{π \cdot 9}{7} \cdot \frac{180}{π}$

Step 1.2.3

Rewrite the expression.

$\frac{9}{7} \cdot 180$

Step 1.3

Combine $\frac{9}{7}$ and $180$ .

$\frac{9 \cdot 180}{7}$

Step 1.4

Multiply $9$ by $180$ .

$\frac{1620}{7}$

Step 1.5

Convert to a decimal.

$231.42857142 °$

Step 2

The angle is in the third quadrant.

Quadrant $3$

Step 3