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}

Decimal Notation

- 60

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}

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 (9 2^{\circ})

6 cos (10 0^{\circ})

tan (arcsin (\frac{5}{9}))

4 sin (\frac{7 π}{6})

cos (\frac{5}{2})

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