Trigonometry Examples

$\frac{2}{3 π}$

Step 1

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(\frac{2}{3 π}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $3 π$ .

$\frac{2}{3 (π)} \cdot \frac{180}{π}$

Step 2.2

Factor $3$ out of $180$ .

$\frac{2}{3 (π)} \cdot \frac{3 (60)}{π}$

Step 2.3

Cancel the common factor.

$\frac{2}{3 π} \cdot \frac{3 \cdot 60}{π}$

Step 2.4

Rewrite the expression.

$\frac{2}{π} \cdot \frac{60}{π}$

Step 3

Multiply $\frac{2}{π}$ by $\frac{60}{π}$ .

$\frac{2 \cdot 60}{π π}$

Step 4

Multiply $2$ by $60$ .

$\frac{120}{π π}$

Step 5

Raise $π$ to the power of $1$ .

$\frac{120}{π^{1} π}$

Step 6

Raise $π$ to the power of $1$ .

$\frac{120}{π^{1} π^{1}}$

Step 7

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{120}{π^{1 + 1}}$

Step 8

Add $1$ and $1$ .

$\frac{120}{π^{2}}$

Step 9

$π$ is approximately equal to $3.14159265$ .

$\frac{120}{{(3.14159265)}^{2}}$

Step 10

Convert to a decimal.

$12.15854203 °$