What is the value of arctan((8sqrt(3))/(-8)) ?

The value of arctan((8sqrt(3))/(-8)) is -pi/3

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arctan((8sqrt(3))/(-8))

arctan (\frac{8 3}{- 8})

- \frac{π}{3}

Solution steps

arctan (\frac{8 3}{- 8})

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}

- e^{0} cos (0)

cos (6 \cdot π)

cos (15 5^{\circ}) cos (2 0^{\circ}) + sin (15 5^{\circ}) sin (2 0^{\circ})

sin (3) (\frac{π}{2})

sin (0.02)

What is the value of arctan((8sqrt(3))/(-8)) ?
The value of arctan((8sqrt(3))/(-8)) is -pi/3