cos(x)=0.85

Lösung

cos (x) = 0.85

x = 0.55481 \dots + 2 πn, x = 2 π - 0.55481 \dots + 2 πn

Grad

x = 31.78833 \dots^{\circ} + 36 0^{\circ} n, x = 328.21166 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = 0.85

Wende die Eigenschaften der Trigonometrie an

cos (x) = 0.85

Allgemeine Lösung für

cos (x) = 0.85

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

x = arccos (0.85) + 2 πn, x = 2 π - arccos (0.85) + 2 πn

x = arccos (0.85) + 2 πn, x = 2 π - arccos (0.85) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.55481 \dots + 2 πn, x = 2 π - 0.55481 \dots + 2 πn

4 = 2 + 2 sin (θ)

2 sin^{2} (x) - 3 sin (x) - 1 = 0

2 sin (6 x) - 1 = 0

sin^{2} (θ) - sin (θ) - 6 = 0

4 cos^{2} (x) + cos (2 x) - 7 cos (x) = - 2