Trigonometry Examples

$4$

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.

$(4) \cdot \frac{180 °}{π}$

Step 1.2

Multiply $(4) \frac{180}{π}$ .

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Step 1.2.1

Combine $4$ and $\frac{180}{π}$ .

$\frac{4 \cdot 180}{π}$

Step 1.2.2

Multiply $4$ by $180$ .

$\frac{720}{π}$

Step 1.3

$π$ is approximately equal to $3.14159265$ .

$\frac{720}{3.14159265}$

Step 1.4

Convert to a decimal.

$229.18311805 °$

Step 2

The angle is in the third quadrant.

Quadrant $3$

Step 3