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Beliebt Trigonometrie >

sin(x)tan(x-30)=0

Lösung

sin (x) tan (x - 3 0^{\circ}) = 0

Lösung

x = 36 0^{\circ} n, x = 18 0^{\circ} + 36 0^{\circ} n, x = 18 0^{\circ} n + 3 0^{\circ}

+1

Radianten

x = 0 + 2 πn, x = π + 2 πn, x = \frac{π}{6} + πn

Schritte zur Lösung

sin (x) tan (x - 3 0^{\circ}) = 0

Löse jeden Teil einzeln

sin (x) = 0 or tan (x - 3 0^{\circ}) = 0

sin (x) = 0 : x = 36 0^{\circ} n, x = 18 0^{\circ} + 36 0^{\circ} n

sin (x) = 0

Allgemeine Lösung für

sin (x) = 0

sin (x)

Periodizitätstabelle mit

36 0^{\circ} n

Zyklus:

x = 0 + 36 0^{\circ} n, x = 18 0^{\circ} + 36 0^{\circ} n

x = 0 + 36 0^{\circ} n, x = 18 0^{\circ} + 36 0^{\circ} n

Löse

x = 0 + 36 0^{\circ} n : x = 36 0^{\circ} n

x = 0 + 36 0^{\circ} n

0 + 36 0^{\circ} n = 36 0^{\circ} n

x = 36 0^{\circ} n

x = 36 0^{\circ} n, x = 18 0^{\circ} + 36 0^{\circ} n

tan (x - 3 0^{\circ}) = 0 : x = 18 0^{\circ} n + 3 0^{\circ}

tan (x - 3 0^{\circ}) = 0

Allgemeine Lösung für

tan (x - 3 0^{\circ}) = 0

tan (x)

Periodizitätstabelle mit

18 0^{\circ} n

Zyklus:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

x - 3 0^{\circ} = 0 + 18 0^{\circ} n

x - 3 0^{\circ} = 0 + 18 0^{\circ} n

Löse

x - 3 0^{\circ} = 0 + 18 0^{\circ} n : x = 18 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = 0 + 18 0^{\circ} n

0 + 18 0^{\circ} n = 18 0^{\circ} n

x - 3 0^{\circ} = 18 0^{\circ} n

Verschiebe

3 0^{\circ}

auf die rechte Seite

x - 3 0^{\circ} = 18 0^{\circ} n

Füge

3 0^{\circ}

zu beiden Seiten hinzu

x - 3 0^{\circ} + 3 0^{\circ} = 18 0^{\circ} n + 3 0^{\circ}

Vereinfache

x = 18 0^{\circ} n + 3 0^{\circ}

x = 18 0^{\circ} n + 3 0^{\circ}

x = 18 0^{\circ} n + 3 0^{\circ}

Kombiniere alle Lösungen

x = 36 0^{\circ} n, x = 18 0^{\circ} + 36 0^{\circ} n, x = 18 0^{\circ} n + 3 0^{\circ}

Graph

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