What is the value of arctan((-1)/(sqrt(3))) ?

The value of arctan((-1)/(sqrt(3))) is -pi/6

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arctan((-1)/(sqrt(3)))

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

- \frac{π}{6}

Solution steps

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

Simplify:

\frac{- 1}{3} = - \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}

= - \frac{π}{6}

sin (3 3^{\circ})

- sin (1)

cos (arcsin (\frac{2}{2}))

cos (- \frac{7 π}{6})

arccosh (1)

What is the value of arctan((-1)/(sqrt(3))) ?
The value of arctan((-1)/(sqrt(3))) is -pi/6