What is the value of arctan((2sqrt(3))/(-6)) ?

The value of arctan((2sqrt(3))/(-6)) is -pi/6

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arctan((2sqrt(3))/(-6))

arctan (\frac{2 3}{- 6})

- \frac{π}{6}

Decimal Notation

- 30

Solution steps

arctan (\frac{2 3}{- 6})

Simplify:

\frac{2 3}{- 6} = - \frac{3}{3}

\frac{2 3}{- 6}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{2 3}{6}

Cancel the common factor:

2

= - \frac{3}{3}

= arctan (- \frac{3}{3})

Use the following property:

arctan (- x) = - arctan (x)

arctan (- \frac{3}{3}) = - arctan (\frac{3}{3})

= - arctan (\frac{3}{3})

Use the following trivial identity:

arctan (\frac{3}{3}) = \frac{π}{6}

arctan (\frac{3}{3})

x 0 \frac{3}{3} 13 arctan (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} arctan (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ}

= \frac{π}{6}

= - \frac{π}{6}

arctan (\frac{10}{18})

1 sin (12 0^{\circ})

tan (\frac{π}{4})

3 (1) + sin (1) - e^{1}

\frac{120 \cdot sin ( 8 )}{30}

What is the value of arctan((2sqrt(3))/(-6)) ?
The value of arctan((2sqrt(3))/(-6)) is -pi/6