Trigonometry Examples

2.5

$2.5$

Step 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.

(2.5) \cdot \frac{180 °}{π}

$(2.5) \cdot \frac{180 °}{π}$

Step 2

Multiply

(2.5) \frac{180}{π}

$(2.5) \frac{180}{π}$ .

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Step 2.1

Combine

2.5

$2.5$ and

\frac{180}{π}

$\frac{180}{π}$ .

\frac{2.5 \cdot 180}{π}

$\frac{2.5 \cdot 180}{π}$

Step 2.2

Multiply

2.5

$2.5$ by

180

$180$ .

\frac{450}{π}

$\frac{450}{π}$

\frac{450}{π}

$\frac{450}{π}$

Step 3

Replace

π

$π$ with an approximation.

\frac{450}{3.14159265}

$\frac{450}{3.14159265}$

Step 4

Divide

450

$450$ by

3.14159265

$3.14159265$ .

143.23944878

$143.23944878$

Step 5

Convert to a decimal.

143.23944878 °

$143.23944878 °$

$2.5$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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