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Beliebt Trigonometrie >

sin(x)=(sqrt(2))/3

Lösung

sin (x) = \frac{2}{3}

Lösung

x = 0.49088 \dots + 2 πn, x = π - 0.49088 \dots + 2 πn

+1

Grad

x = 28.12550 \dots^{\circ} + 36 0^{\circ} n, x = 151.87449 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{2}{3}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{2}{3}

Allgemeine Lösung für

sin (x) = \frac{2}{3}

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

x = arcsin (\frac{2}{3}) + 2 πn, x = π - arcsin (\frac{2}{3}) + 2 πn

x = arcsin (\frac{2}{3}) + 2 πn, x = π - arcsin (\frac{2}{3}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.49088 \dots + 2 πn, x = π - 0.49088 \dots + 2 πn

Graph

Beliebte Beispiele

2(-cos^2(x)-sin(x)+sin^2(x))=0

2 (- cos^{2} (x) - sin (x) + sin^{2} (x)) = 0

cos(x)-sin(x)= 2/3

cos (x) - sin (x) = \frac{2}{3}

tan (x) = \frac{4}{2}

arctan(x+1/3)+arctan(x-1/3)=arctan(2)

arctan (x + \frac{1}{3}) + arctan (x - \frac{1}{3}) = arctan (2)

sin (θ) = 0, 64