Trigonometry Examples

$\frac{6 π}{3}$

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.

$(\frac{6 π}{3}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of $π$ .

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Step 1.2.1

Factor $π$ out of $6 π$ .

$\frac{π \cdot 6}{3} \cdot \frac{180}{π}$

Step 1.2.2

Cancel the common factor.

$\frac{π \cdot 6}{3} \cdot \frac{180}{π}$

Step 1.2.3

Rewrite the expression.

$\frac{6}{3} \cdot 180$

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Factor $3$ out of $180$ .

$\frac{6}{3} \cdot (3 (60))$

Step 1.3.2

Cancel the common factor.

$\frac{6}{3} \cdot (3 \cdot 60)$

Step 1.3.3

Rewrite the expression.

$6 \cdot 60$

Step 1.4

Multiply $6$ by $60$ .

$360$

Step 1.5

Convert to a decimal.

$360 °$

Step 2

The angle is between the fourth and first quadrant.

Between Quadrant $4$ and $1$

Step 3