Trigonometry Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Cancel the common factor of $2$ .

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Step 3.1

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

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

Step 3.2

Factor $2$ out of $180$ .

$\frac{- p \cdot 3}{2} \cdot \frac{2 (90)}{π}$

Step 3.3

Cancel the common factor.

$\frac{- p \cdot 3}{2} \cdot \frac{2 \cdot 90}{π}$

Step 3.4

Rewrite the expression.

$- p \cdot 3 \cdot \frac{90}{π}$

Step 4

Multiply $3$ by $- 1$ .

$- 3 p \cdot \frac{90}{π}$

Step 5

Combine $- 3$ and $\frac{90}{π}$ .

$p \cdot \frac{- 3 \cdot 90}{π}$

Step 6

Multiply $- 3$ by $90$ .

$p \cdot \frac{- 270}{π}$

Step 7

Combine $p$ and $\frac{- 270}{π}$ .

$\frac{p \cdot - 270}{π}$

Step 8

Simplify the expression.

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Step 8.1

Move $- 270$ to the left of $p$ .

$\frac{- 270 \cdot p}{π}$

Step 8.2

Move the negative in front of the fraction.

$- \frac{270 p}{π}$

Step 9

$π$ is approximately equal to $3.14159265$ .

$- \frac{270 p}{3.14159265}$

Step 10

Convert to a decimal.