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

The value of arccos(cos((6pi)/5)) is (4pi)/5

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

arccos (cos (\frac{6 π}{5}))

\frac{4 π}{5}

Decimal Notation

144

Solution steps

arccos (cos (\frac{6 π}{5}))

Use the inverse trig property:

\frac{4 π}{5}

arccos (cos (\frac{6 π}{5}))

For

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

Rewrite using trig identities:

cos (\frac{6 π}{5}) = cos (\frac{4 π}{5})

cos (\frac{6 π}{5})

cos (x) = cos (2 π - (x))

= cos (2 π - \frac{6 π}{5})

= cos (\frac{4 π}{5})

= arccos (cos (\frac{4 π}{5}))

0 \leq \frac{4 π}{5} \leq π

= \frac{4 π}{5}

= \frac{4 π}{5}

cos (- 0.3)

sec (\frac{11 π}{6}) tan (\frac{11 π}{6})

sin (11 2^{\circ})

arcsec (- 6)

sin (1.8)

What is the value of arccos(cos((6pi)/5)) ?
The value of arccos(cos((6pi)/5)) is (4pi)/5