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

The value of arctan(-3/(3sqrt(3))) is -pi/6

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

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

- \frac{π}{6}

Solution steps

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

Simplify:

- \frac{3}{3 3} = - \frac{3}{3}

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

Use the following property:

arctan (- x) = - arctan (x)

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

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

Use the following trivial identity:

arctan (\frac{3}{3}) = \frac{π}{6}

= - \frac{π}{6}

cos (0 + π)

4 sec^{2} (\frac{π}{4}) tan^{2} (\frac{π}{4}) + 2 sec^{4} (\frac{π}{4})

cos (π - 1) \cdot 0.2

\frac{cos ( 0.002 ) - 1}{0.00 2 ^{2}}

\frac{cos ( 2 ( 0.001 ) ) - cos ( 0.001 )}{0.00 1 ^{2}}

What is the value of arctan(-3/(3sqrt(3))) ?
The value of arctan(-3/(3sqrt(3))) is -pi/6