sin(θ)=0.788

Lösung

sin (θ) = 0.788

θ = 0.90755 \dots + 2 πn, θ = π - 0.90755 \dots + 2 πn

Grad

θ = 51.99899 \dots^{\circ} + 36 0^{\circ} n, θ = 128.00100 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = 0.788

Wende die Eigenschaften der Trigonometrie an

sin (θ) = 0.788

Allgemeine Lösung für

sin (θ) = 0.788

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

θ = arcsin (0.788) + 2 πn, θ = π - arcsin (0.788) + 2 πn

θ = arcsin (0.788) + 2 πn, θ = π - arcsin (0.788) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.90755 \dots + 2 πn, θ = π - 0.90755 \dots + 2 πn

arctan (θ) = - 3

cos (θ) = \frac{2}{6}

0 = cos^{2} (x) + cos (x) - 1

\frac{tan ( x ) ( - tan ^{2} ( x ) + 3 )}{1 - tan ^{2} ( x )} = 0

2 sin (x) - cos (x) = 0.6