Trigonometry Examples

2 \cdot \frac{180}{π}

$2 \cdot \frac{180}{π}$

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.

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

$(2 \cdot \frac{180}{π}) \cdot \frac{180 °}{π}$

Step 2

Multiply

2 \frac{180}{π}

$2 \frac{180}{π}$ .

Tap for more steps...

Step 2.1

Combine

2

$2$ and

\frac{180}{π}

$\frac{180}{π}$ .

\frac{2 \cdot 180}{π} \cdot \frac{180}{π}

$\frac{2 \cdot 180}{π} \cdot \frac{180}{π}$

Step 2.2

Multiply

2

$2$ by

180

$180$ .

\frac{360}{π} \cdot \frac{180}{π}

$\frac{360}{π} \cdot \frac{180}{π}$

\frac{360}{π} \cdot \frac{180}{π}

$\frac{360}{π} \cdot \frac{180}{π}$

Step 3

Multiply

\frac{360}{π} \cdot \frac{180}{π}

$\frac{360}{π} \cdot \frac{180}{π}$ .

Tap for more steps...

Step 3.1

Multiply

\frac{360}{π}

$\frac{360}{π}$ by

\frac{180}{π}

$\frac{180}{π}$ .

\frac{360 \cdot 180}{π π}

$\frac{360 \cdot 180}{π π}$

Step 3.2

Multiply

360

$360$ by

180

$180$ .

\frac{64800}{π π}

$\frac{64800}{π π}$

Step 3.3

Raise

π

$π$ to the power of

1

$1$ .

\frac{64800}{π^{1} π}

$\frac{64800}{π^{1} π}$

Step 3.4

Raise

π

$π$ to the power of

1

$1$ .

\frac{64800}{π^{1} π^{1}}

$\frac{64800}{π^{1} π^{1}}$

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{64800}{π^{1 + 1}}

$\frac{64800}{π^{1 + 1}}$

Step 3.6

Add

1

$1$ and

1

$1$ .

\frac{64800}{π^{2}}

$\frac{64800}{π^{2}}$

\frac{64800}{π^{2}}

$\frac{64800}{π^{2}}$

Step 4

π

$π$ is approximately equal to

3.14159265

$3.14159265$ .

\frac{64800}{{(3.14159265)}^{2}}

$\frac{64800}{{(3.14159265)}^{2}}$

Step 5

Convert to a decimal.

6565.61270002 °

$6565.61270002 °$

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

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