Trigonometry Examples

$\frac{1 π}{3}$

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.

$(\frac{1 π}{3}) \cdot \frac{180 °}{π}$

Step 1.2

Multiply $π$ by $1$ .

$\frac{π}{3} \cdot \frac{180}{π}$

Step 1.3

Cancel the common factor of $π$ .

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Step 1.3.1

Cancel the common factor.

$\frac{π}{3} \cdot \frac{180}{π}$

Step 1.3.2

Rewrite the expression.

$\frac{1}{3} \cdot 180$

Step 1.4

Cancel the common factor of $3$ .

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Step 1.4.1

Factor $3$ out of $180$ .

$\frac{1}{3} \cdot (3 (60))$

Step 1.4.2

Cancel the common factor.

$\frac{1}{3} \cdot (3 \cdot 60)$

Step 1.4.3

Rewrite the expression.

$60$

Step 1.5

Convert to a decimal.

$60 °$

Step 2

The angle is in the first quadrant.

Quadrant $1$

Step 3