arcsin(cos(-60))

Lösung

arcsin (cos (- 6 0^{\circ}))

\frac{π}{2} - - \frac{π}{3}

Dezimale

30

Schritte zur Lösung

arcsin (cos (- 6 0^{\circ}))

Umschreiben mit Hilfe von Trigonometrie-Identitäten:

cos (- 6 0^{\circ}) = sin (9 0^{\circ} - - 6 0^{\circ})

cos (- 6 0^{\circ})

sin (9 0^{\circ} - x) = cos (x)

= sin (9 0^{\circ} - - 6 0^{\circ})

= arcsin (sin (9 0^{\circ} - - 6 0^{\circ}))

Use the inverse trig property:

9 0^{\circ} - - 6 0^{\circ}

arcsin (sin (9 0^{\circ} - - 6 0^{\circ}))

Für

- 9 0^{\circ} \leq x \leq 9 0^{\circ}, a rcs in (s in (x)) = x

- 9 0^{\circ} \leq 9 0^{\circ} - - 6 0^{\circ} \leq 9 0^{\circ}

= 9 0^{\circ} - - 6 0^{\circ}

= 9 0^{\circ} - - 6 0^{\circ}

\frac{π}{2} cos (2 π)

\frac{1}{1 - sin ( \frac{π}{6} )}

cot (arcsin (\frac{1}{4}))

\frac{sin ( 24 0 ^{\circ} )}{cos ( 12 0 ^{\circ} )}

5 + 4 cos (\frac{π}{2})