cos(x)=-0.25

Lösung

cos (x) = - 0.25

x = 1.82347 \dots + 2 πn, x = - 1.82347 \dots + 2 πn

Grad

x = 104.47751 \dots^{\circ} + 36 0^{\circ} n, x = - 104.47751 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = - 0.25

Wende die Eigenschaften der Trigonometrie an

cos (x) = - 0.25

Allgemeine Lösung für

cos (x) = - 0.25

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

x = arccos (- 0.25) + 2 πn, x = - arccos (- 0.25) + 2 πn

x = arccos (- 0.25) + 2 πn, x = - arccos (- 0.25) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.82347 \dots + 2 πn, x = - 1.82347 \dots + 2 πn

1 + sin^{2} (x) = cos^{2} (x)

7 tan (θ) sin (θ) - 6 tan (θ) = 0

2 sin^{2} (x) - 7 cos (x) + 2 = 0

5 cos (θ) = 0

sin (2 θ) = 4 cos (θ)