Trigonometry Examples

$\frac{7 p}{12}$

Step 1

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

$(\frac{7 p}{12}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $12$ .

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Step 2.1

Factor $12$ out of $180$ .

$\frac{7 p}{12} \cdot \frac{12 (15)}{π}$

Step 2.2

Cancel the common factor.

$\frac{7 p}{12} \cdot \frac{12 \cdot 15}{π}$

Step 2.3

Rewrite the expression.

$7 p \cdot \frac{15}{π}$

Step 3

Combine $7$ and $\frac{15}{π}$ .

$p \cdot \frac{7 \cdot 15}{π}$

Step 4

Multiply $7$ by $15$ .

$p \cdot \frac{105}{π}$

Step 5

Combine $p$ and $\frac{105}{π}$ .

$\frac{p \cdot 105}{π}$

Step 6

Move $105$ to the left of $p$ .

$\frac{105 p}{π}$

Step 7

$π$ is approximately equal to $3.14159265$ .

$\frac{105 p}{3.14159265}$

Step 8

Convert to a decimal.