sin(θ)=(-4)/5

Lösung

sin (θ) = \frac{- 4}{5}

θ = - 0.92729 \dots + 2 πn, θ = π + 0.92729 \dots + 2 πn

Grad

θ = - 53.13010 \dots^{\circ} + 36 0^{\circ} n, θ = 233.13010 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{- 4}{5}

Wende Bruchregel an:

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

sin (θ) = - \frac{4}{5}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = - \frac{4}{5}

Allgemeine Lösung für

sin (θ) = - \frac{4}{5}

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

θ = arcsin (- \frac{4}{5}) + 2 πn, θ = π + arcsin (\frac{4}{5}) + 2 πn

θ = arcsin (- \frac{4}{5}) + 2 πn, θ = π + arcsin (\frac{4}{5}) + 2 πn

Zeige Lösungen in Dezimalform

θ = - 0.92729 \dots + 2 πn, θ = π + 0.92729 \dots + 2 πn

so l v e f or θ, x = 5 sec (θ)

sec (3 x) - cos (3 0^{\circ}) = 0, \frac{x + 35}{5}

- 2 sin (x) + 3 = 0

sin (θ) = \frac{4}{5}, cos (θ) = \frac{3}{5}

sec (2 x) + tan (2 x) = 8