Trigonometry Examples

$\frac{33 π}{10}$

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.

$(\frac{33 π}{10}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of $π$ .

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Step 1.2.1

Factor $π$ out of $33 π$ .

$\frac{π \cdot 33}{10} \cdot \frac{180}{π}$

Step 1.2.2

Cancel the common factor.

$\frac{π \cdot 33}{10} \cdot \frac{180}{π}$

Step 1.2.3

Rewrite the expression.

$\frac{33}{10} \cdot 180$

Step 1.3

Cancel the common factor of $10$ .

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Step 1.3.1

Factor $10$ out of $180$ .

$\frac{33}{10} \cdot (10 (18))$

Step 1.3.2

Cancel the common factor.

$\frac{33}{10} \cdot (10 \cdot 18)$

Step 1.3.3

Rewrite the expression.

$33 \cdot 18$

Step 1.4

Multiply $33$ by $18$ .

$594$

Step 1.5

Convert to a decimal.

$594 °$

Step 2

For angles greater than $360 °$ , subtract $360 °$ from the angle until the angle is less than $360 °$ .

$234$

Step 3

The angle is in the third quadrant.

Quadrant $3$

Step 4