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 Bruchregel an:

\frac{- a}{b} = - \frac{a}{b}

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

\frac{sin ( x )}{16} = \frac{sin ( 3 1 ^{\circ} )}{12}

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

3 cos (2 x + 1) = 2

sin (t) = \frac{3}{7}, cos (t)

tan (x) = \frac{16}{12}