Trigonometry Examples

$- 1.5$

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.

$(- 1.5) \cdot \frac{180 °}{π}$

Step 1.2

Multiply $(- 1.5) \frac{180}{π}$ .

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Step 1.2.1

Combine $- 1.5$ and $\frac{180}{π}$ .

$\frac{- 1.5 \cdot 180}{π}$

Step 1.2.2

Multiply $- 1.5$ by $180$ .

$\frac{- 270}{π}$

Step 1.3

Move the negative in front of the fraction.

$- \frac{270}{π}$

Step 1.4

Replace $π$ with an approximation.

$- \frac{270}{3.14159265}$

Step 1.5

Divide $270$ by $3.14159265$ .

$- 1 \cdot 85.94366926$

Step 1.6

Multiply $- 1$ by $85.94366926$ .

$- 85.94366926$

Step 1.7

Convert to a decimal.

$- 85.94366926 °$

Step 2

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

$274.05633073$

Step 3

The angle is in the fourth quadrant.

Quadrant $4$

Step 4