cos(x)=-sqrt(1/2)

Lösung

cos (x) = - \frac{1}{2}

x = 2.35619 \dots + 2 πn, x = - 2.35619 \dots + 2 πn

Grad

x = 13 5^{\circ} + 36 0^{\circ} n, x = - 13 5^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = - \frac{1}{2}

Wende die Eigenschaften der Trigonometrie an

cos (x) = - \frac{1}{2}

Allgemeine Lösung für

cos (x) = - \frac{1}{2}

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

x = arccos (- \frac{1}{2}) + 2 πn, x = - arccos (- \frac{1}{2}) + 2 πn

x = arccos (- \frac{1}{2}) + 2 πn, x = - arccos (- \frac{1}{2}) + 2 πn

Zeige Lösungen in Dezimalform

x = 2.35619 \dots + 2 πn, x = - 2.35619 \dots + 2 πn

6 cos (θ) = - 6 (1 + cos (θ))

2 sin^{2} (x) + 5 sin (x) + 3 = 0

cos (A) = \frac{4}{5}

arcsin (x - 2) = \frac{π}{6}

9.8 sin (x) - 1.96 cos (x) = 8.54