cos(θ)=0.4

Lösung

cos (θ) = 0.4

θ = 1.15927 \dots + 2 πn, θ = 2 π - 1.15927 \dots + 2 πn

Grad

θ = 66.42182 \dots^{\circ} + 36 0^{\circ} n, θ = 293.57817 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = 0.4

Wende die Eigenschaften der Trigonometrie an

cos (θ) = 0.4

Allgemeine Lösung für

cos (θ) = 0.4

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

θ = arccos (0.4) + 2 πn, θ = 2 π - arccos (0.4) + 2 πn

θ = arccos (0.4) + 2 πn, θ = 2 π - arccos (0.4) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.15927 \dots + 2 πn, θ = 2 π - 1.15927 \dots + 2 πn

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

2 cos^{2} (x) - 1 = 0, 0 \leq x \leq 2 π

sin (θ) = 0.82

tan (x) = \frac{1}{10}

cos^{2} (2 x) + 1 + sin (2 x) = 2