What is the value of arccos(cos(4.13)) ?

The value of arccos(cos(4.13)) is (200pi-413)/(100)

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arccos(cos(4.13))

arccos (cos (4.13))

\frac{200 π - 413}{100}

Decimal Notation

123.37

Solution steps

arccos (cos (4.13))

= arccos (cos (\frac{413}{100}))

Use the inverse trig property:

\frac{200 π - 413}{100}

arccos (cos (\frac{413}{100}))

For

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

Rewrite using trig identities:

cos (\frac{413}{100}) = cos (\frac{200 π - 413}{100})

cos (\frac{413}{100})

cos (x) = cos (2 π - (x))

= cos (2 π - \frac{413}{100})

= cos (\frac{200 π - 413}{100})

= arccos (cos (\frac{200 π - 413}{100}))

0 \leq \frac{200 π - 413}{100} \leq π

= \frac{200 π - 413}{100}

= \frac{200 π - 413}{100}

cos (40.8 9^{\circ})

2 sin (1.1 π)

161 cos (1 4^{\circ}) + \frac{555 sin ( 1 4 ^{\circ} )}{8} - \frac{21 cos ( 1 4 ^{\circ} )}{4}

- \frac{26}{3} sin (3 \cdot \frac{2}{3} π) + 3 cos (3 \cdot \frac{2}{3} π) - \frac{2}{9}

- \frac{1 ^{2} sin ( 1 ) + 2 ( 1 cos ( 1 ) - sin ( 1 ) )}{1 ^{3}}

What is the value of arccos(cos(4.13)) ?
The value of arccos(cos(4.13)) is (200pi-413)/(100)