Trigonometry Examples

$\frac{59 π}{180}$

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.

$(\frac{59 π}{180}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of $π$ .

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Step 1.2.1

Factor $π$ out of $59 π$ .

$\frac{π \cdot 59}{180} \cdot \frac{180}{π}$

Step 1.2.2

Cancel the common factor.

$\frac{π \cdot 59}{180} \cdot \frac{180}{π}$

Step 1.2.3

Rewrite the expression.

$\frac{59}{180} \cdot 180$

Step 1.3

Cancel the common factor of $180$ .

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Step 1.3.1

Cancel the common factor.

$\frac{59}{180} \cdot 180$

Step 1.3.2

Rewrite the expression.

$59$

Step 1.4

Convert to a decimal.

$59 °$

Step 2

The angle is in the first quadrant.

Quadrant $1$

Step 3