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Beliebt Trigonometrie >

cos(x-30)=0.22

Lösung

cos (x - 3 0^{\circ}) = 0.22

Lösung

x = 1.34898 \dots + 36 0^{\circ} n + 3 0^{\circ}, x = 36 0^{\circ} - 1.34898 \dots + 36 0^{\circ} n + 3 0^{\circ}

+1

Radianten

x = 1.34898 \dots + \frac{π}{6} + 2 πn, x = 2 π - 1.34898 \dots + \frac{π}{6} + 2 πn

Schritte zur Lösung

cos (x - 3 0^{\circ}) = 0.22

Wende die Eigenschaften der Trigonometrie an

cos (x - 3 0^{\circ}) = 0.22

Allgemeine Lösung für

cos (x - 3 0^{\circ}) = 0.22

cos (x) = a \Rightarrow x = arccos (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (a) + 36 0^{\circ} n

x - 3 0^{\circ} = arccos (0.22) + 36 0^{\circ} n, x - 3 0^{\circ} = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n

x - 3 0^{\circ} = arccos (0.22) + 36 0^{\circ} n, x - 3 0^{\circ} = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n

Löse

x - 3 0^{\circ} = arccos (0.22) + 36 0^{\circ} n : x = arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = arccos (0.22) + 36 0^{\circ} n

Verschiebe

3 0^{\circ}

auf die rechte Seite

x - 3 0^{\circ} = arccos (0.22) + 36 0^{\circ} n

Füge

3 0^{\circ}

zu beiden Seiten hinzu

x - 3 0^{\circ} + 3 0^{\circ} = arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

Vereinfache

x = arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

x = arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

Löse

x - 3 0^{\circ} = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n : x = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n

Verschiebe

3 0^{\circ}

auf die rechte Seite

x - 3 0^{\circ} = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n

Füge

3 0^{\circ}

zu beiden Seiten hinzu

x - 3 0^{\circ} + 3 0^{\circ} = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

Vereinfache

x = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

x = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

x = arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}, x = 36 0^{\circ} - arccos (0.22) + 36 0^{\circ} n + 3 0^{\circ}

Zeige Lösungen in Dezimalform

x = 1.34898 \dots + 36 0^{\circ} n + 3 0^{\circ}, x = 36 0^{\circ} - 1.34898 \dots + 36 0^{\circ} n + 3 0^{\circ}

Graph

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