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Beliebt Trigonometrie >

sin(x^2)=0

Lösung

sin (x^{2}) = 0

Lösung

x = 2 πn, x = - 2 πn, x = π + 2 πn, x = - π + 2 πn

+1

Grad

x = 0^{\circ} + 143.61922 \dots^{\circ} n, x = 0^{\circ} - 143.61922 \dots^{\circ} n, x = 0^{\circ} + 175.89690 \dots^{\circ} n, x = 0^{\circ} - 175.89690 \dots^{\circ} n

Schritte zur Lösung

sin (x^{2}) = 0

Allgemeine Lösung für

sin (x^{2}) = 0

sin (x)

Periodizitätstabelle mit

2 πn

Zyklus:

x^{2} = 0 + 2 πn, x^{2} = π + 2 πn

x^{2} = 0 + 2 πn, x^{2} = π + 2 πn

Löse

x^{2} = 0 + 2 πn : x = 2 πn, x = - 2 πn

x^{2} = 0 + 2 πn

0 + 2 πn = 2 πn

x^{2} = 2 πn

Für

x^{2} = f (a)

sind die Lösungen

x = f (a), - f (a)

x = 2 πn, x = - 2 πn

Vereinfache

2 πn : 2 πn

2 πn

Wende Radikal Regel an:

n ab = n a n b,

angenommen

a \geq 0, b \geq 0

= 2 πn

Vereinfache

- 2 πn : - 2 πn

- 2 πn

Wende Radikal Regel an:

n ab = n a n b,

angenommen

a \geq 0, b \geq 0

= - 2 πn

x = 2 πn, x = - 2 πn

Löse

x^{2} = π + 2 πn : x = π + 2 πn, x = - π + 2 πn

x^{2} = π + 2 πn

Für

x^{2} = f (a)

sind die Lösungen

x = f (a), - f (a)

x = π + 2 πn, x = - π + 2 πn

x = 2 πn, x = - 2 πn, x = π + 2 πn, x = - π + 2 πn

Graph

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