sin(x)=-(sqrt(5))/3

Lösung

sin (x) = - \frac{5}{3}

x = - 0.84106 \dots + 2 πn, x = π + 0.84106 \dots + 2 πn

Grad

x = - 48.18968 \dots^{\circ} + 36 0^{\circ} n, x = 228.18968 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = - \frac{5}{3}

Wende die Eigenschaften der Trigonometrie an

sin (x) = - \frac{5}{3}

Allgemeine Lösung für

sin (x) = - \frac{5}{3}

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

x = arcsin (- \frac{5}{3}) + 2 πn, x = π + arcsin (\frac{5}{3}) + 2 πn

x = arcsin (- \frac{5}{3}) + 2 πn, x = π + arcsin (\frac{5}{3}) + 2 πn

Zeige Lösungen in Dezimalform

x = - 0.84106 \dots + 2 πn, x = π + 0.84106 \dots + 2 πn

tan (a) = 2.4

2 sin^{2} (θ) - 11 sin (θ) + 9 = 0

6 sin^{2} (4 x) - 4 = 0

tan (θ) + 3 = sec (θ)

sin (x) + cos (x) = csc (x)