cos(x)= 2/7

Lösung

cos (x) = \frac{2}{7}

x = 1.28104 \dots + 2 πn, x = 2 π - 1.28104 \dots + 2 πn

Grad

x = 73.39845 \dots^{\circ} + 36 0^{\circ} n, x = 286.60154 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{2}{7}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{2}{7}

Allgemeine Lösung für

cos (x) = \frac{2}{7}

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

x = arccos (\frac{2}{7}) + 2 πn, x = 2 π - arccos (\frac{2}{7}) + 2 πn

x = arccos (\frac{2}{7}) + 2 πn, x = 2 π - arccos (\frac{2}{7}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.28104 \dots + 2 πn, x = 2 π - 1.28104 \dots + 2 πn

cos (3 x) sin (2 x) = 0

2 sin (2 θ) = 2

sin^{2} (θ) + sin (θ) - 2 = 0

sin^{2} (θ) - tan (θ) cos^{2} (θ) = 0

3 tan (x) = 4 sin (x)