Trigonometry Examples

$\frac{2}{3} p$

Step 1

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

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

Step 2

Combine $\frac{2}{3}$ and $p$ .

$\frac{2 p}{3} \cdot \frac{180}{π}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $180$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$2 p \cdot \frac{60}{π}$

Step 4

Combine $2$ and $\frac{60}{π}$ .

$p \cdot \frac{2 \cdot 60}{π}$

Step 5

Multiply $2$ by $60$ .

$p \cdot \frac{120}{π}$

Step 6

Combine $p$ and $\frac{120}{π}$ .

$\frac{p \cdot 120}{π}$

Step 7

Move $120$ to the left of $p$ .

$\frac{120 p}{π}$

Step 8

$π$ is approximately equal to $3.14159265$ .

$\frac{120 p}{3.14159265}$

Step 9

Convert to a decimal.