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Beliebt Trigonometrie >

sin(x-30)=0.7

Lösung

sin (x - 3 0^{\circ}) = 0.7

Lösung

x = 0.77539 \dots + 36 0^{\circ} n + 3 0^{\circ}, x = 18 0^{\circ} - 0.77539 \dots + 36 0^{\circ} n + 3 0^{\circ}

+1

Radianten

x = 0.77539 \dots + \frac{π}{6} + 2 πn, x = π - 0.77539 \dots + \frac{π}{6} + 2 πn

Schritte zur Lösung

sin (x - 3 0^{\circ}) = 0.7

Wende die Eigenschaften der Trigonometrie an

sin (x - 3 0^{\circ}) = 0.7

Allgemeine Lösung für

sin (x - 3 0^{\circ}) = 0.7

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n, x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n, x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

Löse

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n : x = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n

Verschiebe

3 0^{\circ}

auf die rechte Seite

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n

Füge

3 0^{\circ}

zu beiden Seiten hinzu

x - 3 0^{\circ} + 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

Vereinfache

x = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

Löse

x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n : x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

Verschiebe

3 0^{\circ}

auf die rechte Seite

x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

Füge

3 0^{\circ}

zu beiden Seiten hinzu

x - 3 0^{\circ} + 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

Vereinfache

x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}, x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

Zeige Lösungen in Dezimalform

x = 0.77539 \dots + 36 0^{\circ} n + 3 0^{\circ}, x = 18 0^{\circ} - 0.77539 \dots + 36 0^{\circ} n + 3 0^{\circ}

Graph

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