sin(x)=-4/7

Lösung

sin (x) = - \frac{4}{7}

x = - 0.60824 \dots + 2 πn, x = π + 0.60824 \dots + 2 πn

Grad

x = - 34.84990 \dots^{\circ} + 36 0^{\circ} n, x = 214.84990 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = - \frac{4}{7}

Wende die Eigenschaften der Trigonometrie an

sin (x) = - \frac{4}{7}

Allgemeine Lösung für

sin (x) = - \frac{4}{7}

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

x = arcsin (- \frac{4}{7}) + 2 πn, x = π + arcsin (\frac{4}{7}) + 2 πn

x = arcsin (- \frac{4}{7}) + 2 πn, x = π + arcsin (\frac{4}{7}) + 2 πn

Zeige Lösungen in Dezimalform

x = - 0.60824 \dots + 2 πn, x = π + 0.60824 \dots + 2 πn

arccos (x) = \frac{8 π}{7}

cos (2 x) = \frac{1}{4}

sin (θ) + 1 = 2 cos^{2} (θ)

sin (x) = \frac{5}{8.8}

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