sin(θ)=-5/6

Lösung

sin (θ) = - \frac{5}{6}

θ = - 0.98511 \dots + 2 πn, θ = π + 0.98511 \dots + 2 πn

Grad

θ = - 56.44269 \dots^{\circ} + 36 0^{\circ} n, θ = 236.44269 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = - \frac{5}{6}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = - \frac{5}{6}

Allgemeine Lösung für

sin (θ) = - \frac{5}{6}

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

θ = arcsin (- \frac{5}{6}) + 2 πn, θ = π + arcsin (\frac{5}{6}) + 2 πn

θ = arcsin (- \frac{5}{6}) + 2 πn, θ = π + arcsin (\frac{5}{6}) + 2 πn

Zeige Lösungen in Dezimalform

θ = - 0.98511 \dots + 2 πn, θ = π + 0.98511 \dots + 2 πn

sec (θ) = 0

2 sin^{2} (x) - cos (x) - 1 = 0, 0 \leq x \leq 2 π

5 tan (x) sin (x) = - sin (x)

2 sin (4 x) - 1 = 0

cot^{2} (x) - cot (x) = 0