Trigonometry Examples

$6$

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.

$(6) \cdot \frac{180 °}{π}$

Step 1.2

Multiply $(6) \frac{180}{π}$ .

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Step 1.2.1

Combine $6$ and $\frac{180}{π}$ .

$\frac{6 \cdot 180}{π}$

Step 1.2.2

Multiply $6$ by $180$ .

$\frac{1080}{π}$

Step 1.3

$π$ is approximately equal to $3.14159265$ .

$\frac{1080}{3.14159265}$

Step 1.4

Convert to a decimal.

$343.77467707 °$

Step 2

The angle is in the fourth quadrant.

Quadrant $4$

Step 3