What is the value of arctan((-2sqrt(3))/2) ?

The value of arctan((-2sqrt(3))/2) is -pi/3

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arctan((-2sqrt(3))/2)

arctan (\frac{- 2 3}{2})

- \frac{π}{3}

Decimal Notation

- 60

Solution steps

arctan (\frac{- 2 3}{2})

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}

arctan (3)

x 0 \frac{3}{3} 13 arctan (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} arctan (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ}

= \frac{π}{3}

= - \frac{π}{3}

cos (\frac{4}{7})

cos^{2} (31 5^{\circ})

sin (\frac{- 13 π}{12})

sin (\frac{3 π}{7})

20 \cdot sin (4 5^{\circ})

What is the value of arctan((-2sqrt(3))/2) ?
The value of arctan((-2sqrt(3))/2) is -pi/3