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

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

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

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

- \frac{π}{3}

Solution steps

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

Simplify:

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

= 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}

= - \frac{π}{3}

3 sin (3)

3 sin (1)

\frac{2 ( cos ( 4 5 ^{\circ} ) ) ^{2} + 3 \cdot csc ( 3 7 ^{\circ} )}{2 \cdot tan ( 4 5 ^{\circ} )}

arctan (\frac{4}{10})

8 cos (22. 5^{\circ}) cos (67. 5^{\circ})

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