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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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}))

Simplify

= 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}

25 \cdot cos (6 0^{\circ})

π + arctan (2)

sin (π) 0

sin (π) 3

arctan (\frac{5 π}{4})

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