cos(θ)=0.2

Lösung

cos (θ) = 0.2

θ = 1.36943 \dots + 2 πn, θ = 2 π - 1.36943 \dots + 2 πn

Grad

θ = 78.46304 \dots^{\circ} + 36 0^{\circ} n, θ = 281.53695 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = 0.2

Wende die Eigenschaften der Trigonometrie an

cos (θ) = 0.2

Allgemeine Lösung für

cos (θ) = 0.2

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

θ = arccos (0.2) + 2 πn, θ = 2 π - arccos (0.2) + 2 πn

θ = arccos (0.2) + 2 πn, θ = 2 π - arccos (0.2) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.36943 \dots + 2 πn, θ = 2 π - 1.36943 \dots + 2 πn

tan^{2} (x) + 3 tan (x) - 5 = 0

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

2 cos (2 θ) = 6 cos (θ) - 4

5 sin (θ) - 4 = 2 sin (θ) - 6

cos (2 θ) - cos (4 θ) = 0