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Beliebt Trigonometrie >

sec(2θ)=csc(70)

Lösung

sec (2 θ) = csc (7 0^{\circ})

Lösung

θ = \frac{0.34906 \dots}{2} + 18 0^{\circ} n, θ = 18 0^{\circ} - \frac{0.34906 \dots}{2} + 18 0^{\circ} n

+1

Radianten

θ = \frac{0.34906 \dots}{2} + πn, θ = π - \frac{0.34906 \dots}{2} + πn

Schritte zur Lösung

sec (2 θ) = csc (7 0^{\circ})

Wende die Eigenschaften der Trigonometrie an

sec (2 θ) = csc (7 0^{\circ})

Allgemeine Lösung für

sec (2 θ) = csc (7 0^{\circ})

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

2 θ = arcsec (csc (7 0^{\circ})) + 36 0^{\circ} n, 2 θ = 36 0^{\circ} - arcsec (csc (7 0^{\circ})) + 36 0^{\circ} n

2 θ = arcsec (csc (7 0^{\circ})) + 36 0^{\circ} n, 2 θ = 36 0^{\circ} - arcsec (csc (7 0^{\circ})) + 36 0^{\circ} n

Löse

2 θ = arcsec (csc (7 0^{\circ})) + 36 0^{\circ} n : θ = \frac{arcsec ( csc ( 7 0 ^{\circ} ) )}{2} + 18 0^{\circ} n

2 θ = arcsec (csc (7 0^{\circ})) + 36 0^{\circ} n

Teile beide Seiten durch

2

2 θ = arcsec (csc (7 0^{\circ})) + 36 0^{\circ} n

Teile beide Seiten durch

2

\frac{2 θ}{2} = \frac{arcsec ( csc ( 7 0 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

Vereinfache

θ = \frac{arcsec ( csc ( 7 0 ^{\circ} ) )}{2} + 18 0^{\circ} n

θ = \frac{arcsec ( csc ( 7 0 ^{\circ} ) )}{2} + 18 0^{\circ} n

Löse

2 θ = 36 0^{\circ} - arcsec (csc (7 0^{\circ})) + 36 0^{\circ} n : θ = 18 0^{\circ} - \frac{arcsec ( csc ( 7 0 ^{\circ} ) )}{2} + 18 0^{\circ} n

2 θ = 36 0^{\circ} - arcsec (csc (7 0^{\circ})) + 36 0^{\circ} n

Teile beide Seiten durch

2

2 θ = 36 0^{\circ} - arcsec (csc (7 0^{\circ})) + 36 0^{\circ} n

Teile beide Seiten durch

2

\frac{2 θ}{2} = 18 0^{\circ} - \frac{arcsec ( csc ( 7 0 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

Vereinfache

θ = 18 0^{\circ} - \frac{arcsec ( csc ( 7 0 ^{\circ} ) )}{2} + 18 0^{\circ} n

θ = 18 0^{\circ} - \frac{arcsec ( csc ( 7 0 ^{\circ} ) )}{2} + 18 0^{\circ} n

θ = \frac{arcsec ( csc ( 7 0 ^{\circ} ) )}{2} + 18 0^{\circ} n, θ = 18 0^{\circ} - \frac{arcsec ( csc ( 7 0 ^{\circ} ) )}{2} + 18 0^{\circ} n

Zeige Lösungen in Dezimalform

θ = \frac{0.34906 \dots}{2} + 18 0^{\circ} n, θ = 18 0^{\circ} - \frac{0.34906 \dots}{2} + 18 0^{\circ} n

Graph

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