cos(θ)=(sqrt(5))/5

Lösung

cos (θ) = \frac{5}{5}

θ = 1.10714 \dots + 2 πn, θ = 2 π - 1.10714 \dots + 2 πn

Grad

θ = 63.43494 \dots^{\circ} + 36 0^{\circ} n, θ = 296.56505 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{5}{5}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{5}{5}

Allgemeine Lösung für

cos (θ) = \frac{5}{5}

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

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

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

Zeige Lösungen in Dezimalform

θ = 1.10714 \dots + 2 πn, θ = 2 π - 1.10714 \dots + 2 πn

cos (x) = \frac{14}{24}

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

cos (θ) = - 3

\frac{1}{cos ( x )} = 2

2 tan^{2} (x) = - 3 sec (x)