What is the value of arccos(cos(-(5pi)/6)) ?

The value of arccos(cos(-(5pi)/6)) is (5pi)/6

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arccos(cos(-(5pi)/6))

arccos (cos (- \frac{5 π}{6}))

\frac{5 π}{6}

Decimal Notation

150

Solution steps

arccos (cos (- \frac{5 π}{6}))

Use the following property:

cos (- x) = cos (x)

cos (- \frac{5 π}{6}) = cos (\frac{5 π}{6})

= arccos (cos (\frac{5 π}{6}))

Use the inverse trig property:

\frac{5 π}{6}

arccos (cos (\frac{5 π}{6}))

For

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

0 \leq \frac{5 π}{6} \leq π

= \frac{5 π}{6}

= \frac{5 π}{6}

sin (2 arcsin (- \frac{3}{5}))

1 sin (3 0^{\circ})

40 \cdot cos (3 0^{\circ})

39 (cos (\frac{π}{2}) + i sin (\frac{π}{2}))

cosh (πi)

What is the value of arccos(cos(-(5pi)/6)) ?
The value of arccos(cos(-(5pi)/6)) is (5pi)/6