What is the value of 1/(4sqrt(6))arctan(sqrt(2/3)tan(2pi)) ?

The value of 1/(4sqrt(6))arctan(sqrt(2/3)tan(2pi)) is 0

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1/(4sqrt(6))arctan(sqrt(2/3)tan(2pi))

\frac{1}{4 6} arctan (\frac{2}{3} tan (2 π))

0

Solution steps

\frac{1}{4 6} arctan (\frac{2}{3} tan (2 π))

\frac{1}{4 6} arctan (\frac{2}{3} tan (2 π)) = \frac{6 arctan ( \frac{2}{3} tan ( 2 π ) )}{24}

= \frac{6 arctan ( \frac{2}{3} tan ( 2 π ) )}{24}

tan (2 π) = tan (0)

= \frac{6 arctan ( \frac{2}{3} tan ( 0 ) )}{24}

Use the following trivial identity:

tan (0) = 0

= \frac{6 arctan ( \frac{2}{3} \cdot 0 )}{24}

Simplify

= \frac{6 arctan ( 0 )}{24}

Use the following trivial identity:

arctan (0) = 0

= \frac{6 \cdot 0}{24}

Simplify

= 0

sin (\frac{π}{3}) + cos^{2} (\frac{5 π}{6})

1.5 \cdot sin (0.14)

cot (4 5^{\circ}) + cot (9 0^{\circ})

arctan (\frac{- 791.18}{287.22})

23 sin (\frac{7 π}{6})

What is the value of 1/(4sqrt(6))arctan(sqrt(2/3)tan(2pi)) ?
The value of 1/(4sqrt(6))arctan(sqrt(2/3)tan(2pi)) is 0