sin(θ)= 5/11

Lösung

sin (θ) = \frac{5}{11}

θ = 0.47186 \dots + 2 πn, θ = π - 0.47186 \dots + 2 πn

Grad

θ = 27.03569 \dots^{\circ} + 36 0^{\circ} n, θ = 152.96430 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{5}{11}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{5}{11}

Allgemeine Lösung für

sin (θ) = \frac{5}{11}

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

θ = arcsin (\frac{5}{11}) + 2 πn, θ = π - arcsin (\frac{5}{11}) + 2 πn

θ = arcsin (\frac{5}{11}) + 2 πn, θ = π - arcsin (\frac{5}{11}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.47186 \dots + 2 πn, θ = π - 0.47186 \dots + 2 πn

4 = - 8 cos (θ)

2 cos^{2} (θ) - 5 cos (θ) = 3

12 sin^{2} (x) - 20 sin (x) = - 8

6 arccos (4 x) = π

tan (x) = \frac{10}{4}