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

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

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

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

- \frac{π}{6}

Decimal Notation

- 30

Solution steps

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

Simplify

= 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}

sin^{2} (3 7^{\circ})

- 2 cos (\frac{π}{4})

arctan (\frac{- 3}{- 4})

cos (\frac{- 5 π}{3})

sin (2 arcsin (- \frac{2}{2}))

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