Trigonometry Examples

$- 4.25$

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.

$(- 4.25) \cdot \frac{180 °}{π}$

Step 1.2

Multiply $(- 4.25) \frac{180}{π}$ .

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Step 1.2.1

Combine $- 4.25$ and $\frac{180}{π}$ .

$\frac{- 4.25 \cdot 180}{π}$

Step 1.2.2

Multiply $- 4.25$ by $180$ .

$\frac{- 765}{π}$

Step 1.3

Move the negative in front of the fraction.

$- \frac{765}{π}$

Step 1.4

Replace $π$ with an approximation.

$- \frac{765}{3.14159265}$

Step 1.5

Divide $765$ by $3.14159265$ .

$- 1 \cdot 243.50706293$

Step 1.6

Multiply $- 1$ by $243.50706293$ .

$- 243.50706293$

Step 1.7

Convert to a decimal.

$- 243.50706293 °$

Step 2

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

$116.49293706$

Step 3

The angle is in the second quadrant.

Quadrant $2$

Step 4