Trigonometry Examples

$2.25$

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.

$(2.25) \cdot \frac{180 °}{π}$

Step 1.2

Multiply $(2.25) \frac{180}{π}$ .

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Step 1.2.1

Combine $2.25$ and $\frac{180}{π}$ .

$\frac{2.25 \cdot 180}{π}$

Step 1.2.2

Multiply $2.25$ by $180$ .

$\frac{405}{π}$

Step 1.3

Replace $π$ with an approximation.

$\frac{405}{3.14159265}$

Step 1.4

Divide $405$ by $3.14159265$ .

$128.9155039$

Step 1.5

Convert to a decimal.

$128.9155039 °$

Step 2

The angle is in the second quadrant.

Quadrant $2$

Step 3