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

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

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arccos(cos((-pi)/6))

arccos (cos (\frac{- π}{6}))

\frac{π}{6}

Decimal Notation

30

Solution steps

arccos (cos (\frac{- π}{6}))

Simplify

= arccos (cos (- \frac{π}{6}))

Use the following property:

cos (- x) = cos (x)

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

= arccos (cos (\frac{π}{6}))

Use the inverse trig property:

\frac{π}{6}

arccos (cos (\frac{π}{6}))

For

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

0 \leq \frac{π}{6} \leq π

= \frac{π}{6}

= \frac{π}{6}

sin (28.0 7^{\circ})

5 cos (54 0^{\circ})

csc (0.9)

arcsin (\frac{12}{11} sin (7 3^{\circ}))

sin (0.245)

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