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Beliebt Trigonometrie >

sec(θ+20)=sqrt(3)

Lösung

sec (θ + 2 0^{\circ}) = 3

Lösung

θ = 0.95531 \dots + 36 0^{\circ} n - 2 0^{\circ}, θ = 36 0^{\circ} - 0.95531 \dots + 36 0^{\circ} n - 2 0^{\circ}

+1

Radianten

θ = 0.95531 \dots - \frac{π}{9} + 2 πn, θ = 2 π - 0.95531 \dots - \frac{π}{9} + 2 πn

Schritte zur Lösung

sec (θ + 2 0^{\circ}) = 3

Wende die Eigenschaften der Trigonometrie an

sec (θ + 2 0^{\circ}) = 3

Allgemeine Lösung für

sec (θ + 2 0^{\circ}) = 3

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

θ + 2 0^{\circ} = arcsec (3) + 36 0^{\circ} n, θ + 2 0^{\circ} = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n

θ + 2 0^{\circ} = arcsec (3) + 36 0^{\circ} n, θ + 2 0^{\circ} = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n

Löse

θ + 2 0^{\circ} = arcsec (3) + 36 0^{\circ} n : θ = arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

θ + 2 0^{\circ} = arcsec (3) + 36 0^{\circ} n

Verschiebe

2 0^{\circ}

auf die rechte Seite

θ + 2 0^{\circ} = arcsec (3) + 36 0^{\circ} n

Subtrahiere

2 0^{\circ}

von beiden Seiten

θ + 2 0^{\circ} - 2 0^{\circ} = arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

Vereinfache

θ = arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

θ = arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

Löse

θ + 2 0^{\circ} = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n : θ = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

θ + 2 0^{\circ} = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n

Verschiebe

2 0^{\circ}

auf die rechte Seite

θ + 2 0^{\circ} = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n

Subtrahiere

2 0^{\circ}

von beiden Seiten

θ + 2 0^{\circ} - 2 0^{\circ} = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

Vereinfache

θ = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

θ = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

θ = arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}, θ = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n - 2 0^{\circ}

Zeige Lösungen in Dezimalform

θ = 0.95531 \dots + 36 0^{\circ} n - 2 0^{\circ}, θ = 36 0^{\circ} - 0.95531 \dots + 36 0^{\circ} n - 2 0^{\circ}

Graph

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