Convert from Radians to Degrees arctan(-1/( square root of 3))

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Trigonometry

$\arctan (- \frac{1}{\sqrt{3}})$

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

$(\arctan (- \frac{1}{\sqrt{3}})) \cdot \frac{180 °}{π}$

Multiply $\frac{1}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$ .

$\arctan (- (\frac{1}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}})) \cdot \frac{180}{π}$

Combine and simplify the denominator.

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Multiply $\frac{1}{\sqrt{3}}$ and $\frac{\sqrt{3}}{\sqrt{3}}$ .

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

Raise $\sqrt{3}$ to the power of $1$ .

$\arctan (- \frac{\sqrt{3}}{{\sqrt{3}}^{1} \sqrt{3}}) \cdot \frac{180}{π}$

Raise $\sqrt{3}$ to the power of $1$ .

$\arctan (- \frac{\sqrt{3}}{{\sqrt{3}}^{1} {\sqrt{3}}^{1}}) \cdot \frac{180}{π}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\arctan (- \frac{\sqrt{3}}{{\sqrt{3}}^{1 + 1}}) \cdot \frac{180}{π}$

Add $1$ and $1$ .

$\arctan (- \frac{\sqrt{3}}{{\sqrt{3}}^{2}}) \cdot \frac{180}{π}$

Rewrite ${\sqrt{3}}^{2}$ as $3$ .

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Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{3}$ as $3^{\frac{1}{2}}$ .

$\arctan (- \frac{\sqrt{3}}{{(3^{\frac{1}{2}})}^{2}}) \cdot \frac{180}{π}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\arctan (- \frac{\sqrt{3}}{3^{\frac{1}{2} \cdot 2}}) \cdot \frac{180}{π}$

Combine $\frac{1}{2}$ and $2$ .

$\arctan (- \frac{\sqrt{3}}{3^{\frac{2}{2}}}) \cdot \frac{180}{π}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\arctan (- \frac{\sqrt{3}}{3^{\frac{2}{2}}}) \cdot \frac{180}{π}$

Rewrite the expression.

$\arctan (- \frac{\sqrt{3}}{3^{1}}) \cdot \frac{180}{π}$

Evaluate the exponent.

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

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

$- \frac{π}{6} \cdot \frac{180}{π}$

Cancel the common factor of $π$ .

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Move the leading negative in $- \frac{π}{6}$ into the numerator.

$\frac{- π}{6} \cdot \frac{180}{π}$

Factor $π$ out of $- π$ .

$\frac{π \cdot - 1}{6} \cdot \frac{180}{π}$

Cancel the common factor.

$\frac{π \cdot - 1}{6} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{- 1}{6} \cdot 180$

Cancel the common factor of $6$ .

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Factor $6$ out of $180$ .

$\frac{- 1}{6} \cdot (6 (30))$

Cancel the common factor.

$\frac{- 1}{6} \cdot (6 \cdot 30)$

Rewrite the expression.

$- 1 \cdot 30$

Multiply $- 1$ by $30$ .

$- 30$

Convert to a decimal.

$- 30 °$

Do you know how to Convert from Radians to Degrees arctan(-1/( square root of 3))? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name	four hundred fifty-five million four hundred sixty-four thousand seven hundred eighty-eight

Interesting facts

455464788 has 32 divisors, whose sum is 1373337504
The reverse of 455464788 is 887464554
Previous prime number is 197

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 51
Digital Root 6

Name

Name	five hundred forty-two million three hundred sixty-eight thousand three hundred forty-one

Interesting facts

542368341 has 16 divisors, whose sum is 612852480
The reverse of 542368341 is 143863245
Previous prime number is 137

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 36
Digital Root 9

Name

Name	one billion four hundred eleven million seven hundred eighty-five thousand five hundred eighty-eight

Interesting facts

1411785588 has 64 divisors, whose sum is 4263596352
The reverse of 1411785588 is 8855871141
Previous prime number is 613

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 48
Digital Root 3

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