What is the value of arctan((-4sqrt(3))/4) ?

The value of arctan((-4sqrt(3))/4) is -pi/3

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arctan((-4sqrt(3))/4)

arctan (\frac{- 4 3}{4})

- \frac{π}{3}

Solution steps

arctan (\frac{- 4 3}{4})

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}

3 (cos (3 0^{\circ}))^{2} + 2 (sin (3 0^{\circ}))^{2}

0 - 6 tan (3 0^{\circ}) + \frac{1}{2} \cdot 9.8 \cdot (\frac{6}{7.5 \cdot cos ( 3 0 ^{\circ} )})^{2}

sec (4 2^{\circ})

\frac{\frac{π}{3} cos ( \frac{π}{3} ) - sin ( \frac{π}{3} )}{( \frac{π}{3} ) ^{2}}

arccos (\frac{5}{2})

What is the value of arctan((-4sqrt(3))/4) ?
The value of arctan((-4sqrt(3))/4) is -pi/3