Trigonometry Examples

- 2.14

$- 2.14$

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}

$\frac{180}{π}$ , since a full circle is

360 °

$360 °$ or

2 π

$2 π$ radians.

(- 2.14) \cdot \frac{180 °}{π}

$(- 2.14) \cdot \frac{180 °}{π}$

Step 1.2

Multiply

(- 2.14) \frac{180}{π}

$(- 2.14) \frac{180}{π}$ .

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Step 1.2.1

Combine

- 2.14

$- 2.14$ and

\frac{180}{π}

$\frac{180}{π}$ .

\frac{- 2.14 \cdot 180}{π}

$\frac{- 2.14 \cdot 180}{π}$

Step 1.2.2

Multiply

- 2.14

$- 2.14$ by

180

$180$ .

\frac{- 385.2}{π}

$\frac{- 385.2}{π}$

\frac{- 385.2}{π}

$\frac{- 385.2}{π}$

Step 1.3

Move the negative in front of the fraction.

- \frac{385.2}{π}

$- \frac{385.2}{π}$

Step 1.4

Replace

π

$π$ with an approximation.

- \frac{385.2}{3.14159265}

$- \frac{385.2}{3.14159265}$

Step 1.5

Divide

385.2

$385.2$ by

3.14159265

$3.14159265$ .

- 1 \cdot 122.61296815

$- 1 \cdot 122.61296815$

Step 1.6

Multiply

- 1

$- 1$ by

122.61296815

$122.61296815$ .

- 122.61296815

$- 122.61296815$

Step 1.7

Convert to a decimal.

- 122.61296815 °

$- 122.61296815 °$

- 122.61296815 °

$- 122.61296815 °$

Step 2

For angles smaller than

0 °

$0 °$ , add

360 °

$360 °$ to the angle until the angle is larger than

0 °

$0 °$ .

237.38703184

$237.38703184$

Step 3

The angle is in the third quadrant.

Quadrant

3

$3$

Step 4

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$