Trigonometry Examples

$- \frac{15}{17}$

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.

$(- \frac{15}{17}) \cdot \frac{180 °}{π}$

Step 1.2

Multiply $(- \frac{15}{17}) \frac{180}{π}$ .

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Step 1.2.1

Multiply $\frac{180}{π}$ by $\frac{15}{17}$ .

$- \frac{180 \cdot 15}{π \cdot 17}$

Step 1.2.2

Multiply $180$ by $15$ .

$- \frac{2700}{π \cdot 17}$

Step 1.3

Move $17$ to the left of $π$ .

$- \frac{2700}{17 π}$

Step 1.4

$π$ is approximately equal to $3.14159265$ .

$- \frac{2700}{17 (3.14159265)}$

Step 1.5

Convert to a decimal.

$- 50.55509957 °$

Step 2

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

$309.44490042$

Step 3

The angle is in the fourth quadrant.

Quadrant $4$

Step 4