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}

Solution steps

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

= 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}

= - \frac{π}{6}

\frac{60}{cos ( 3 0 ^{\circ} )}

cos (- 58 5^{\circ})

cos (- 1 (- 1))

cos (- 40 5^{\circ})

50 sin (3 7^{\circ})

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