Trigonometry Examples

$\frac{11}{6}$

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.

$(\frac{11}{6}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of $6$ .

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Step 1.2.1

Factor $6$ out of $180$ .

$\frac{11}{6} \cdot \frac{6 (30)}{π}$

Step 1.2.2

Cancel the common factor.

$\frac{11}{6} \cdot \frac{6 \cdot 30}{π}$

Step 1.2.3

Rewrite the expression.

$11 \cdot \frac{30}{π}$

Step 1.3

Combine $11$ and $\frac{30}{π}$ .

$\frac{11 \cdot 30}{π}$

Step 1.4

Multiply $11$ by $30$ .

$\frac{330}{π}$

Step 1.5

$π$ is approximately equal to $3.14159265$ .

$\frac{330}{3.14159265}$

Step 1.6

Convert to a decimal.

$105.04226244 °$

Step 2

The angle is in the second quadrant.

Quadrant $2$

Step 3