Trigonometry Examples

\frac{10 π}{9} rad

$\frac{10 π}{9} rad$

Step 1

To convert radians to degrees, multiply by

\frac{180}{π}

$\frac{180}{π}$ , since a full circle is

360 °

$360 °$ or

2 π

$2 π$ radians.

(\frac{10 π}{9}) \cdot \frac{180 °}{π}

$(\frac{10 π}{9}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of

π

$π$ .

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Step 2.1

Factor

π

$π$ out of

10 π

$10 π$ .

\frac{π \cdot 10}{9} \cdot \frac{180}{π}

$\frac{π \cdot 10}{9} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

$\frac{π \cdot 10}{9} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

$\frac{10}{9} \cdot 180$

$\frac{10}{9} \cdot 180$

Step 3

Cancel the common factor of

$9$ .

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Step 3.1

Factor

$9$ out of

$180$ .

$\frac{10}{9} \cdot (9 (20))$

Step 3.2

Cancel the common factor.

$\frac{10}{9} \cdot (9 \cdot 20)$

Step 3.3

Rewrite the expression.

$10 \cdot 20$

$10 \cdot 20$

Step 4

Multiply

$10$ by

$20$ .

$200$

Step 5

Convert to a decimal.

$200 °$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$