sin(θ)=-1/3

Lösung

sin (θ) = - \frac{1}{3}

θ = - 0.33983 \dots + 2 πn, θ = π + 0.33983 \dots + 2 πn

Grad

θ = - 19.47122 \dots^{\circ} + 36 0^{\circ} n, θ = 199.47122 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = - \frac{1}{3}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = - \frac{1}{3}

Allgemeine Lösung für

sin (θ) = - \frac{1}{3}

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

θ = arcsin (- \frac{1}{3}) + 2 πn, θ = π + arcsin (\frac{1}{3}) + 2 πn

θ = arcsin (- \frac{1}{3}) + 2 πn, θ = π + arcsin (\frac{1}{3}) + 2 πn

Zeige Lösungen in Dezimalform

θ = - 0.33983 \dots + 2 πn, θ = π + 0.33983 \dots + 2 πn

sin (θ) = - \frac{1}{4}

sin (θ) cos (θ) = \frac{1}{2}

cos (θ) = \frac{- 3}{2}

sin (x) cos (x) = sin (2 x)

cos (x) = \frac{5}{8}