What is the value of arccos(cos(-(2pi)/3)) ?

The value of arccos(cos(-(2pi)/3)) is (2pi)/3

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arccos(cos(-(2pi)/3))

arccos (cos (- \frac{2 π}{3}))

\frac{2 π}{3}

Decimal Notation

120

Solution steps

arccos (cos (- \frac{2 π}{3}))

Use the following property:

cos (- x) = cos (x)

cos (- \frac{2 π}{3}) = cos (\frac{2 π}{3})

= arccos (cos (\frac{2 π}{3}))

Use the inverse trig property:

\frac{2 π}{3}

arccos (cos (\frac{2 π}{3}))

For

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

0 \leq \frac{2 π}{3} \leq π

= \frac{2 π}{3}

= \frac{2 π}{3}

cos (arccot (\frac{4}{3}) + (\frac{π}{2}))

3 sec (0)

25 \cdot sin (3 0^{\circ})

cos (\frac{- 7 π}{12})

arctan (\frac{4}{9})

What is the value of arccos(cos(-(2pi)/3)) ?
The value of arccos(cos(-(2pi)/3)) is (2pi)/3