sin(θ)= 13/14

Lösung

sin (θ) = \frac{13}{14}

θ = 1.19054 \dots + 2 πn, θ = π - 1.19054 \dots + 2 πn

Grad

θ = 68.21321 \dots^{\circ} + 36 0^{\circ} n, θ = 111.78678 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{13}{14}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{13}{14}

Allgemeine Lösung für

sin (θ) = \frac{13}{14}

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

θ = arcsin (\frac{13}{14}) + 2 πn, θ = π - arcsin (\frac{13}{14}) + 2 πn

θ = arcsin (\frac{13}{14}) + 2 πn, θ = π - arcsin (\frac{13}{14}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.19054 \dots + 2 πn, θ = π - 1.19054 \dots + 2 πn

2 a sin (x) + a = 0

tan (θ) = (\frac{2}{3})

tan (θ) = 8.1443

4 sin (x) = 5 cos (x)

tan (θ) = \frac{26}{41}