Precalculus Examples

$61 ° \cdot 42 ° \cdot 21 °$

Step 1

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

$61 ° \cdot 42 ° \cdot 21 ° \cdot \frac{π}{180 °}$ radians

Step 2

Multiply $61 \cdot 42 \cdot 21$ .

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Step 2.1

Multiply $61$ by $42$ .

$2562 \cdot 21 \cdot \frac{π}{180}$ radians

Step 2.2

Multiply $2562$ by $21$ .

$53802 \cdot \frac{π}{180}$ radians

Step 3

Cancel the common factor of $18$ .

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Step 3.1

Factor $18$ out of $53802$ .

$18 (2989) \cdot \frac{π}{180}$ radians

Step 3.2

Factor $18$ out of $180$ .

$18 \cdot 2989 \cdot \frac{π}{18 \cdot 10}$ radians

Step 3.3

Cancel the common factor.

$18 \cdot 2989 \cdot \frac{π}{18 \cdot 10}$ radians

Step 3.4

Rewrite the expression.

$2989 \cdot \frac{π}{10}$ radians

Step 4

Combine $2989$ and $\frac{π}{10}$ .

$\frac{2989 π}{10}$ radians