What is the value of arccos(cos((16pi)/(11))) ?

The value of arccos(cos((16pi)/(11))) is (6pi)/(11)

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arccos(cos((16pi)/(11)))

arccos (cos (\frac{16 π}{11}))

\frac{6 π}{11}

Decimal Notation

98.18

Solution steps

arccos (cos (\frac{16 π}{11}))

Use the inverse trig property:

\frac{6 π}{11}

arccos (cos (\frac{16 π}{11}))

For

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

Rewrite using trig identities:

cos (\frac{16 π}{11}) = cos (\frac{6 π}{11})

cos (\frac{16 π}{11})

cos (x) = cos (2 π - (x))

= cos (2 π - \frac{16 π}{11})

= cos (\frac{6 π}{11})

= arccos (cos (\frac{6 π}{11}))

0 \leq \frac{6 π}{11} \leq π

= \frac{6 π}{11}

= \frac{6 π}{11}

tan (7.5)

cos (12 4^{\circ})

\frac{15}{sin ( 6 0 ^{\circ} )}

12 cos (\frac{π}{3})

csc (\frac{- 5 π}{4})

What is the value of arccos(cos((16pi)/(11))) ?
The value of arccos(cos((16pi)/(11))) is (6pi)/(11)