Trigonometry Examples

$\frac{12}{5.1}$

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.

$(\frac{12}{5.1}) \cdot \frac{180 °}{π}$

Step 1.2

Divide $12$ by $5.1$ .

$2.35294117 \cdot \frac{180}{π}$

Step 1.3

Multiply $2.35294117 \frac{180}{π}$ .

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Step 1.3.1

Combine $2.35294117$ and $\frac{180}{π}$ .

$\frac{2.35294117 \cdot 180}{π}$

Step 1.3.2

Multiply $2.35294117$ by $180$ .

$\frac{423.52941176}{π}$

Step 1.4

Replace $π$ with an approximation.

$\frac{423.52941176}{3.14159265}$

Step 1.5

Divide $423.52941176$ by $3.14159265$ .

$134.81359885$

Step 1.6

Convert to a decimal.

$134.81359885 °$

Step 2

The angle is in the second quadrant.

Quadrant $2$

Step 3