Trigonometry Examples

3 \cdot \frac{180}{π}

$3 \cdot \frac{180}{π}$

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.

(3 \cdot \frac{180}{π}) \cdot \frac{180 °}{π}

$(3 \cdot \frac{180}{π}) \cdot \frac{180 °}{π}$

Step 2

Multiply

3 \frac{180}{π}

$3 \frac{180}{π}$ .

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Step 2.1

Combine

3

$3$ and

\frac{180}{π}

$\frac{180}{π}$ .

\frac{3 \cdot 180}{π} \cdot \frac{180}{π}

$\frac{3 \cdot 180}{π} \cdot \frac{180}{π}$

Step 2.2

Multiply

3

$3$ by

180

$180$ .

\frac{540}{π} \cdot \frac{180}{π}

$\frac{540}{π} \cdot \frac{180}{π}$

\frac{540}{π} \cdot \frac{180}{π}

$\frac{540}{π} \cdot \frac{180}{π}$

Step 3

Multiply

\frac{540}{π} \cdot \frac{180}{π}

$\frac{540}{π} \cdot \frac{180}{π}$ .

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Step 3.1

Multiply

\frac{540}{π}

$\frac{540}{π}$ by

\frac{180}{π}

$\frac{180}{π}$ .

\frac{540 \cdot 180}{π π}

$\frac{540 \cdot 180}{π π}$

Step 3.2

Multiply

540

$540$ by

180

$180$ .

\frac{97200}{π π}

$\frac{97200}{π π}$

Step 3.3

Raise

π

$π$ to the power of

1

$1$ .

\frac{97200}{π^{1} π}

$\frac{97200}{π^{1} π}$

Step 3.4

Raise

π

$π$ to the power of

1

$1$ .

\frac{97200}{π^{1} π^{1}}

$\frac{97200}{π^{1} π^{1}}$

Step 3.5

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

\frac{97200}{π^{1 + 1}}

$\frac{97200}{π^{1 + 1}}$

Step 3.6

Add

1

$1$ and

1

$1$ .

\frac{97200}{π^{2}}

$\frac{97200}{π^{2}}$

\frac{97200}{π^{2}}

$\frac{97200}{π^{2}}$

Step 4

π

$π$ is approximately equal to

3.14159265

$3.14159265$ .

\frac{97200}{{(3.14159265)}^{2}}

$\frac{97200}{{(3.14159265)}^{2}}$

Step 5

Convert to a decimal.

9848.41905003 °

$9848.41905003 °$

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

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