cos(θ)=(sqrt(5))/3

Lösung

cos (θ) = \frac{5}{3}

θ = 0.72972 \dots + 2 πn, θ = 2 π - 0.72972 \dots + 2 πn

Grad

θ = 41.81031 \dots^{\circ} + 36 0^{\circ} n, θ = 318.18968 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{5}{3}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{5}{3}

Allgemeine Lösung für

cos (θ) = \frac{5}{3}

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

θ = arccos (\frac{5}{3}) + 2 πn, θ = 2 π - arccos (\frac{5}{3}) + 2 πn

θ = arccos (\frac{5}{3}) + 2 πn, θ = 2 π - arccos (\frac{5}{3}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.72972 \dots + 2 πn, θ = 2 π - 0.72972 \dots + 2 πn

- 16 sin (x) + 8 sin (2 x) = 0

csc (x) = - \frac{1}{2}

\frac{3}{2} = sin (θ)

cos (\frac{π}{2} - θ) = cos (θ)

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