cos(x)=-24/25

Lösung

cos (x) = - \frac{24}{25}

x = 2.85779 \dots + 2 πn, x = - 2.85779 \dots + 2 πn

Grad

x = 163.73979 \dots^{\circ} + 36 0^{\circ} n, x = - 163.73979 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = - \frac{24}{25}

Wende die Eigenschaften der Trigonometrie an

cos (x) = - \frac{24}{25}

Allgemeine Lösung für

cos (x) = - \frac{24}{25}

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

x = arccos (- \frac{24}{25}) + 2 πn, x = - arccos (- \frac{24}{25}) + 2 πn

x = arccos (- \frac{24}{25}) + 2 πn, x = - arccos (- \frac{24}{25}) + 2 πn

Zeige Lösungen in Dezimalform

x = 2.85779 \dots + 2 πn, x = - 2.85779 \dots + 2 πn

cos (2 x) = \frac{3}{2}, 0 \leq x < 2 π

sin (A) = \frac{1}{2}

- 4 sin^{2} (θ) - 3 sin (θ) + 5 = 0

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

cos (θ) + 2 cos (θ + 24 0^{\circ}) = 1