What is the value of arccos(cos((11pi)/6)) ?

The value of arccos(cos((11pi)/6)) is pi/6

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arccos(cos((11pi)/6))

arccos (cos (\frac{11 π}{6}))

\frac{π}{6}

Decimal Notation

30

Solution steps

arccos (cos (\frac{11 π}{6}))

Use the inverse trig property:

\frac{π}{6}

arccos (cos (\frac{11 π}{6}))

For

0 \leq x \leq π, a rccos (cos (x)) = x

Rewrite using trig identities:

cos (\frac{11 π}{6}) = cos (\frac{π}{6})

cos (\frac{11 π}{6})

cos (x) = cos (2 π - (x))

= cos (2 π - \frac{11 π}{6})

= cos (\frac{π}{6})

= arccos (cos (\frac{π}{6}))

0 \leq \frac{π}{6} \leq π

= \frac{π}{6}

= \frac{π}{6}

arcsin (\frac{2}{5})

2 cos (2 π)

- sin (\frac{3 π}{2})

arccos (0.4)

cos (\frac{2}{3} π)

What is the value of arccos(cos((11pi)/6)) ?
The value of arccos(cos((11pi)/6)) is pi/6