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

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

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arctan((6sqrt(3))/(-6))

arctan (\frac{6 3}{- 6})

- \frac{π}{3}

Solution steps

arctan (\frac{6 3}{- 6})

Simplify

= 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}

(- 7) \cdot 0.15 \cdot 6.6 \cdot 1 0^{6} \cdot cos (6 5^{\circ})

sin (3 0^{\circ} + 18 0^{\circ})

2 (e^{0} cos (0) - e^{0} sin (0))

sin (21 2^{\circ})

7 sin (\frac{π}{2})

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