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Beliebt Trigonometrie >

sin^2(x)=0.12

Lösung

sin^{2} (x) = 0.12

Lösung

x = 0.35374 \dots + 2 πn, x = π - 0.35374 \dots + 2 πn, x = - 0.35374 \dots + 2 πn, x = π + 0.35374 \dots + 2 πn

+1

Grad

x = 20.26790 \dots^{\circ} + 36 0^{\circ} n, x = 159.73209 \dots^{\circ} + 36 0^{\circ} n, x = - 20.26790 \dots^{\circ} + 36 0^{\circ} n, x = 200.26790 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin^{2} (x) = 0.12

Löse mit Substitution

sin^{2} (x) = 0.12

Angenommen:

sin (x) = u

u^{2} = 0.12

u^{2} = 0.12 : u = 0.12, u = - 0.12

u^{2} = 0.12

Für

x^{2} = f (a)

sind die Lösungen

x = f (a), - f (a)

u = 0.12, u = - 0.12

Setze in

u = sin (x)

ein

sin (x) = 0.12, sin (x) = - 0.12

sin (x) = 0.12, sin (x) = - 0.12

sin (x) = 0.12 : x = arcsin (0.12) + 2 πn, x = π - arcsin (0.12) + 2 πn

sin (x) = 0.12

Wende die Eigenschaften der Trigonometrie an

sin (x) = 0.12

Allgemeine Lösung für

sin (x) = 0.12

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (0.12) + 2 πn, x = π - arcsin (0.12) + 2 πn

x = arcsin (0.12) + 2 πn, x = π - arcsin (0.12) + 2 πn

sin (x) = - 0.12 : x = arcsin (- 0.12) + 2 πn, x = π + arcsin (0.12) + 2 πn

sin (x) = - 0.12

Wende die Eigenschaften der Trigonometrie an

sin (x) = - 0.12

Allgemeine Lösung für

sin (x) = - 0.12

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

x = arcsin (- 0.12) + 2 πn, x = π + arcsin (0.12) + 2 πn

x = arcsin (- 0.12) + 2 πn, x = π + arcsin (0.12) + 2 πn

Kombiniere alle Lösungen

x = arcsin (0.12) + 2 πn, x = π - arcsin (0.12) + 2 πn, x = arcsin (- 0.12) + 2 πn, x = π + arcsin (0.12) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.35374 \dots + 2 πn, x = π - 0.35374 \dots + 2 πn, x = - 0.35374 \dots + 2 πn, x = π + 0.35374 \dots + 2 πn

Graph

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