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Beliebt Trigonometrie >

8cos(x+10)=5

Lösung

8 cos (x + 1 0^{\circ}) = 5

Lösung

x = 0.89566 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - 0.89566 \dots + 36 0^{\circ} n - 1 0^{\circ}

+1

Radianten

x = 0.89566 \dots - \frac{π}{18} + 2 πn, x = 2 π - 0.89566 \dots - \frac{π}{18} + 2 πn

Schritte zur Lösung

8 cos (x + 1 0^{\circ}) = 5

Teile beide Seiten durch

8

8 cos (x + 1 0^{\circ}) = 5

Teile beide Seiten durch

8

\frac{8 cos ( x + 1 0 ^{\circ} )}{8} = \frac{5}{8}

Vereinfache

cos (x + 1 0^{\circ}) = \frac{5}{8}

cos (x + 1 0^{\circ}) = \frac{5}{8}

Wende die Eigenschaften der Trigonometrie an

cos (x + 1 0^{\circ}) = \frac{5}{8}

Allgemeine Lösung für

cos (x + 1 0^{\circ}) = \frac{5}{8}

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

x + 1 0^{\circ} = arccos (\frac{5}{8}) + 36 0^{\circ} n, x + 1 0^{\circ} = 36 0^{\circ} - arccos (\frac{5}{8}) + 36 0^{\circ} n

x + 1 0^{\circ} = arccos (\frac{5}{8}) + 36 0^{\circ} n, x + 1 0^{\circ} = 36 0^{\circ} - arccos (\frac{5}{8}) + 36 0^{\circ} n

Löse

x + 1 0^{\circ} = arccos (\frac{5}{8}) + 36 0^{\circ} n : x = arccos (\frac{5}{8}) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = arccos (\frac{5}{8}) + 36 0^{\circ} n

Verschiebe

1 0^{\circ}

auf die rechte Seite

x + 1 0^{\circ} = arccos (\frac{5}{8}) + 36 0^{\circ} n

Subtrahiere

1 0^{\circ}

von beiden Seiten

x + 1 0^{\circ} - 1 0^{\circ} = arccos (\frac{5}{8}) + 36 0^{\circ} n - 1 0^{\circ}

Vereinfache

x = arccos (\frac{5}{8}) + 36 0^{\circ} n - 1 0^{\circ}

x = arccos (\frac{5}{8}) + 36 0^{\circ} n - 1 0^{\circ}

Löse

x + 1 0^{\circ} = 36 0^{\circ} - arccos (\frac{5}{8}) + 36 0^{\circ} n : x = 36 0^{\circ} - arccos (\frac{5}{8}) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = 36 0^{\circ} - arccos (\frac{5}{8}) + 36 0^{\circ} n

Verschiebe

1 0^{\circ}

auf die rechte Seite

x + 1 0^{\circ} = 36 0^{\circ} - arccos (\frac{5}{8}) + 36 0^{\circ} n

Subtrahiere

1 0^{\circ}

von beiden Seiten

x + 1 0^{\circ} - 1 0^{\circ} = 36 0^{\circ} - arccos (\frac{5}{8}) + 36 0^{\circ} n - 1 0^{\circ}

Vereinfache

x = 36 0^{\circ} - arccos (\frac{5}{8}) + 36 0^{\circ} n - 1 0^{\circ}

x = 36 0^{\circ} - arccos (\frac{5}{8}) + 36 0^{\circ} n - 1 0^{\circ}

x = arccos (\frac{5}{8}) + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - arccos (\frac{5}{8}) + 36 0^{\circ} n - 1 0^{\circ}

Zeige Lösungen in Dezimalform

x = 0.89566 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - 0.89566 \dots + 36 0^{\circ} n - 1 0^{\circ}

Graph

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