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Beliebt Trigonometrie >

sec(x+10)=5.759

Lösung

sec (x + 1 0^{\circ}) = 5.759

Lösung

x = 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}

+1

Radianten

x = 1.39627 \dots - \frac{π}{18} + 2 πn, x = 2 π - 1.39627 \dots - \frac{π}{18} + 2 πn

Schritte zur Lösung

sec (x + 1 0^{\circ}) = 5.759

Wende die Eigenschaften der Trigonometrie an

sec (x + 1 0^{\circ}) = 5.759

Allgemeine Lösung für

sec (x + 1 0^{\circ}) = 5.759

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

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n, x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n, x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

Löse

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n : x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n

Verschiebe

1 0^{\circ}

auf die rechte Seite

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n

Subtrahiere

1 0^{\circ}

von beiden Seiten

x + 1 0^{\circ} - 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

Vereinfache

x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

Löse

x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n : x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

Verschiebe

1 0^{\circ}

auf die rechte Seite

x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

Subtrahiere

1 0^{\circ}

von beiden Seiten

x + 1 0^{\circ} - 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

Vereinfache

x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

Zeige Lösungen in Dezimalform

x = 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}

Graph

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