sin(θ)= 500/680

Lösung

sin (θ) = \frac{500}{680}

θ = 0.82610 \dots + 2 πn, θ = π - 0.82610 \dots + 2 πn

Grad

θ = 47.33207 \dots^{\circ} + 36 0^{\circ} n, θ = 132.66792 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{500}{680}

Streiche die gemeinsamen Faktoren:

20

sin (θ) = \frac{25}{34}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{25}{34}

Allgemeine Lösung für

sin (θ) = \frac{25}{34}

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

θ = arcsin (\frac{25}{34}) + 2 πn, θ = π - arcsin (\frac{25}{34}) + 2 πn

θ = arcsin (\frac{25}{34}) + 2 πn, θ = π - arcsin (\frac{25}{34}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.82610 \dots + 2 πn, θ = π - 0.82610 \dots + 2 πn

sin (3 x) + cos (2 x) = 0

tan (x) = - \frac{3}{2}

3 sin (x) cos (x) = sin (x)

cos (\frac{5 x}{10}) = \frac{2}{2}

2 cos (θ) tan (θ) - tan (θ) = 0