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

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

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arctan((-3sqrt(3))/3)

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

- \frac{π}{3}

Decimal Notation

- 60

Solution steps

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

Simplify

= arctan (- 3)

Use the following property:

arctan (- x) = - arctan (x)

arctan (- 3) = - arctan (3)

= - arctan (3)

Use the following trivial identity:

arctan (3) = \frac{π}{3}

arctan (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}{3}

= - \frac{π}{3}

arcsin (\frac{4.6}{9.1})

sin (26.5 6^{\circ})

cos (arcsin (\frac{5}{13}) - arctan (\frac{4}{3}))

cos (\frac{π}{2} + π)

cos (arccos (- \frac{10}{13}))

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