What is the value of arccos(cos(-(4pi)/3)) ?

The value of arccos(cos(-(4pi)/3)) is (2pi)/3

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arccos(cos(-(4pi)/3))

arccos (cos (- \frac{4 π}{3}))

\frac{2 π}{3}

Decimal Notation

120

Solution steps

arccos (cos (- \frac{4 π}{3}))

Use the inverse trig property:

\frac{2 π}{3}

arccos (cos (- \frac{4 π}{3}))

For

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

Rewrite using trig identities:

cos (- \frac{4 π}{3}) = cos (\frac{2 π}{3})

cos (- \frac{4 π}{3})

cos (x + 2 π \cdot k) = cos (x)

= cos (- \frac{4 π}{3} + 1 \cdot 2 π)

= cos (\frac{2 π}{3})

= arccos (cos (\frac{2 π}{3}))

0 \leq \frac{2 π}{3} \leq π

= \frac{2 π}{3}

= \frac{2 π}{3}

sec^{2} (57 0^{\circ})

8 cos (6 0^{\circ})

cos (\frac{π}{1})

cos (25 0^{\circ})

cos (2 (\frac{π}{2}))

What is the value of arccos(cos(-(4pi)/3)) ?
The value of arccos(cos(-(4pi)/3)) is (2pi)/3