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Beliebt Trigonometrie >

arccos(cos(3.2))

Lösung

arccos (cos (3.2))

Lösung

\frac{10 π - 16}{5}

+1

Dezimale

176.65

Schritte zur Lösung

arccos (cos (3.2))

= arccos (cos (\frac{16}{5}))

Use the inverse trig property:

\frac{10 π - 16}{5}

arccos (cos (\frac{16}{5}))

Für

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

Umschreiben mit Hilfe von Trigonometrie-Identitäten:

cos (\frac{16}{5}) = cos (\frac{10 π - 16}{5})

cos (\frac{16}{5})

cos (x) = cos (2 π - (x))

= cos (2 π - \frac{16}{5})

= cos (\frac{10 π - 16}{5})

= arccos (cos (\frac{10 π - 16}{5}))

0 \leq \frac{10 π - 16}{5} \leq π

= \frac{10 π - 16}{5}

= \frac{10 π - 16}{5}

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