Trigonometry Examples

$- \frac{2 p}{3}$

Step 1

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

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

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{2 p}{3}$ into the numerator.

$\frac{- 2 p}{3} \cdot \frac{180}{π}$

Step 2.2

Factor $3$ out of $180$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

$- 2 p \cdot \frac{60}{π}$

Step 3

Combine $- 2$ and $\frac{60}{π}$ .

$p \cdot \frac{- 2 \cdot 60}{π}$

Step 4

Multiply $- 2$ by $60$ .

$p \cdot \frac{- 120}{π}$

Step 5

Combine $p$ and $\frac{- 120}{π}$ .

$\frac{p \cdot - 120}{π}$

Step 6

Simplify the expression.

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Step 6.1

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

$\frac{- 120 \cdot p}{π}$

Step 6.2

Move the negative in front of the fraction.

$- \frac{120 p}{π}$

Step 7

$π$ is approximately equal to $3.14159265$ .

$- \frac{120 p}{3.14159265}$

Step 8

Convert to a decimal.