cos(θ)= 2/6

Lösung

cos (θ) = \frac{2}{6}

θ = 1.23095 \dots + 2 πn, θ = 2 π - 1.23095 \dots + 2 πn

Grad

θ = 70.52877 \dots^{\circ} + 36 0^{\circ} n, θ = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{2}{6}

Streiche die gemeinsamen Faktoren:

2

cos (θ) = \frac{1}{3}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{1}{3}

Allgemeine Lösung für

cos (θ) = \frac{1}{3}

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

θ = arccos (\frac{1}{3}) + 2 πn, θ = 2 π - arccos (\frac{1}{3}) + 2 πn

θ = arccos (\frac{1}{3}) + 2 πn, θ = 2 π - arccos (\frac{1}{3}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.23095 \dots + 2 πn, θ = 2 π - 1.23095 \dots + 2 πn

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

2 sin (x) - cos (x) = 0.5

cos (x) - tan (x) = 0