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Beliebt Trigonometrie >

-sin(x)= 1/2

Lösung

- sin (x) = \frac{1}{2}

Lösung

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

+1

Grad

x = 21 0^{\circ} + 36 0^{\circ} n, x = 33 0^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

- sin (x) = \frac{1}{2}

Teile beide Seiten durch

- 1

- sin (x) = \frac{1}{2}

Teile beide Seiten durch

- 1

\frac{- sin ( x )}{- 1} = \frac{\frac{1}{2}}{- 1}

Vereinfache

\frac{- sin ( x )}{- 1} = \frac{\frac{1}{2}}{- 1}

Vereinfache

\frac{- sin ( x )}{- 1} : sin (x)

\frac{- sin ( x )}{- 1}

Wende Bruchregel an:

\frac{- a}{- b} = \frac{a}{b}

= \frac{sin ( x )}{1}

Wende Regel an

\frac{a}{1} = a

= sin (x)

Vereinfache

\frac{\frac{1}{2}}{- 1} : - \frac{1}{2}

\frac{\frac{1}{2}}{- 1}

Wende Bruchregel an:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{\frac{1}{2}}{1}

Wende Bruchregel an:

\frac{a}{1} = a

\frac{\frac{1}{2}}{1} = \frac{1}{2}

= - \frac{1}{2}

sin (x) = - \frac{1}{2}

sin (x) = - \frac{1}{2}

sin (x) = - \frac{1}{2}

Allgemeine Lösung für

sin (x) = - \frac{1}{2}

sin (x)

Periodizitätstabelle mit

2 πn

Zyklus:

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Graph

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