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

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

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

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

- \frac{π}{6}

Solution steps

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

Simplify:

\frac{- 3}{3 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 (4 5^{\circ}) cos (3 0^{\circ})

arctan (\frac{48}{61})

arcsin (\frac{18 sin ( 5 9 ^{\circ} )}{25})

cos (12 8^{\circ})

cot (\frac{- 4 π}{3})

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