Trigonometry Examples

4 π

$4 π$

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}

$\frac{180}{π}$ , since a full circle is

360 °

$360 °$ or

2 π

$2 π$ radians.

(4 π) \cdot \frac{180 °}{π}

$(4 π) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of

π

$π$ .

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Step 1.2.1

Factor

π

$π$ out of

4 π

$4 π$ .

π \cdot 4 \cdot \frac{180}{π}

$π \cdot 4 \cdot \frac{180}{π}$

Step 1.2.2

Cancel the common factor.

$π \cdot 4 \cdot \frac{180}{π}$

Step 1.2.3

Rewrite the expression.

$4 \cdot 180$

Step 1.3

Multiply

$4$ by

$180$ .

$720$

Step 1.4

Convert to a decimal.

$720 °$

Step 2

For angles greater than

$360 °$ , subtract

$360 °$ from the angle until the angle is less than

$360 °$ .

$360$

Step 3

The angle is between the fourth and first quadrant.

Between Quadrant

$4$ and

$1$

Step 4