Trigonometry Examples

$arccot (- \sqrt{3})$

Step 1

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

$(arccot (- \sqrt{3})) \cdot \frac{180 °}{π}$

Step 2

The exact value of $arccot (- \sqrt{3})$ is $\frac{5 π}{6}$ .

$\frac{5 π}{6} \cdot \frac{180}{π}$

Step 3

Cancel the common factor of $π$ .

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Step 3.1

Factor $π$ out of $5 π$ .

$\frac{π \cdot 5}{6} \cdot \frac{180}{π}$

Step 3.2

Cancel the common factor.

$\frac{π \cdot 5}{6} \cdot \frac{180}{π}$

Step 3.3

Rewrite the expression.

$\frac{5}{6} \cdot 180$

Step 4

Cancel the common factor of $6$ .

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Step 4.1

Factor $6$ out of $180$ .

$\frac{5}{6} \cdot (6 (30))$

Step 4.2

Cancel the common factor.

$\frac{5}{6} \cdot (6 \cdot 30)$

Step 4.3

Rewrite the expression.

$5 \cdot 30$

Step 5

Multiply $5$ by $30$ .

$150$

Step 6

Convert to a decimal.

$150 °$