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Beliebt Trigonometrie >

sin(x-53.13)=-2/5

Lösung

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

Lösung

x = - 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}, x = 18 0^{\circ} + 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}

+1

Radianten

x = - 0.41151 \dots + \frac{1771 π}{6000} + 2 πn, x = π + 0.41151 \dots + \frac{1771 π}{6000} + 2 πn

Schritte zur Lösung

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

Wende die Eigenschaften der Trigonometrie an

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

Allgemeine Lösung für

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

sin (x) = - a \Rightarrow x = arcsin (- a) + 36 0^{\circ} n, x = 18 0^{\circ} + arcsin (a) + 36 0^{\circ} n

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n, x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n, x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

Löse

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n : x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n

Vereinfache

arcsin (- \frac{2}{5}) + 36 0^{\circ} n : - arcsin (\frac{2}{5}) + 36 0^{\circ} n

arcsin (- \frac{2}{5}) + 36 0^{\circ} n

Verwende die folgende Eigenschaft:

arcsin (- x) = - arcsin (x)

arcsin (- \frac{2}{5}) = - arcsin (\frac{2}{5})

= - arcsin (\frac{2}{5}) + 36 0^{\circ} n

x - 53.1 3^{\circ} = - arcsin (\frac{2}{5}) + 36 0^{\circ} n

Verschiebe

53.1 3^{\circ}

auf die rechte Seite

x - 53.1 3^{\circ} = - arcsin (\frac{2}{5}) + 36 0^{\circ} n

Füge

53.1 3^{\circ}

zu beiden Seiten hinzu

x - 53.1 3^{\circ} + 53.1 3^{\circ} = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

Vereinfache

x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

Löse

x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n : x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

Verschiebe

53.1 3^{\circ}

auf die rechte Seite

x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

Füge

53.1 3^{\circ}

zu beiden Seiten hinzu

x - 53.1 3^{\circ} + 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

Vereinfache

x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}, x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

Zeige Lösungen in Dezimalform

x = - 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}, x = 18 0^{\circ} + 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}

Graph

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