What is the value of arctan((2048sqrt(3))/(-2048)) ?

The value of arctan((2048sqrt(3))/(-2048)) is -pi/3

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arctan((2048sqrt(3))/(-2048))

arctan (\frac{2048 3}{- 2048})

- \frac{π}{3}

Solution steps

arctan (\frac{2048 3}{- 2048})

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}

arctan (tan (\frac{9 π}{10}))

\frac{500}{sin ( 4 5 ^{\circ} )}

4 \cdot arctan (1)

arctan (\frac{2}{- 5})

arctan (\frac{2}{20})

What is the value of arctan((2048sqrt(3))/(-2048)) ?
The value of arctan((2048sqrt(3))/(-2048)) is -pi/3