Trigonometry Examples

$- \frac{13 π}{7}$

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.

$(- \frac{13 π}{7}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of $π$ .

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Step 1.2.1

Move the leading negative in $- \frac{13 π}{7}$ into the numerator.

$\frac{- 13 π}{7} \cdot \frac{180}{π}$

Step 1.2.2

Factor $π$ out of $- 13 π$ .

$\frac{π \cdot - 13}{7} \cdot \frac{180}{π}$

Step 1.2.3

Cancel the common factor.

$\frac{π \cdot - 13}{7} \cdot \frac{180}{π}$

Step 1.2.4

Rewrite the expression.

$\frac{- 13}{7} \cdot 180$

Step 1.3

Combine $\frac{- 13}{7}$ and $180$ .

$\frac{- 13 \cdot 180}{7}$

Step 1.4

Simplify the expression.

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Step 1.4.1

Multiply $- 13$ by $180$ .

$\frac{- 2340}{7}$

Step 1.4.2

Move the negative in front of the fraction.

$- \frac{2340}{7}$

Step 1.5

Convert to a decimal.

$- 334.28571428 °$

Step 2

For angles smaller than $0 °$ , add $360 °$ to the angle until the angle is larger than $0 °$ .

$25.71428571$

Step 3

The angle is in the first quadrant.

Quadrant $1$

Step 4