arcsin(sin((7pi)/9))

Lösung

arcsin (sin (\frac{7 π}{9}))

\frac{2 π}{9}

Dezimale

40

Schritte zur Lösung

arcsin (sin (\frac{7 π}{9}))

Use the inverse trig property:

\frac{2 π}{9}

arcsin (sin (\frac{7 π}{9}))

Für

- \frac{π}{2} \leq x \leq \frac{π}{2}, a rcs in (s in (x)) = x

Umschreiben mit Hilfe von Trigonometrie-Identitäten:

sin (\frac{7 π}{9}) = sin (\frac{2 π}{9})

sin (\frac{7 π}{9})

sin (x) = sin (π - (x))

= sin (π - \frac{7 π}{9})

= sin (\frac{2 π}{9})

= arcsin (sin (\frac{2 π}{9}))

- \frac{π}{2} \leq \frac{2 π}{9} \leq \frac{π}{2}

= \frac{2 π}{9}

= \frac{2 π}{9}

sin (2 arctan (\frac{1}{2}) - arctan (\frac{4}{3}))

sin (12 0^{\circ}) cos (4 5^{\circ}) + cos (12 0^{\circ}) sin (4 5^{\circ})

cos (33 5^{\circ})

sin^{2} (5) + cos^{2} (5)

\frac{3}{2} sec (\frac{5 π}{3})