2/3 =cos(x)

Lösung

\frac{2}{3} = cos (x)

x = 0.84106 \dots + 2 πn, x = 2 π - 0.84106 \dots + 2 πn

Grad

x = 48.18968 \dots^{\circ} + 36 0^{\circ} n, x = 311.81031 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

\frac{2}{3} = cos (x)

Tausche die Seiten

cos (x) = \frac{2}{3}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{2}{3}

Allgemeine Lösung für

cos (x) = \frac{2}{3}

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

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

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

Zeige Lösungen in Dezimalform

x = 0.84106 \dots + 2 πn, x = 2 π - 0.84106 \dots + 2 πn

cos (2 x) + 3 cos (x) = 1

cos (2 θ) - cos (θ) = 2

5 sin (2 θ) - 2 sin (θ) = 0

2 cos (3 x) = 3

2 \cdot sin^{2} (x) + cos (x) = 0