sin(x)=-0.2

Lösung

sin (x) = - 0.2

x = - 0.20135 \dots + 2 πn, x = π + 0.20135 \dots + 2 πn

Grad

x = - 11.53695 \dots^{\circ} + 36 0^{\circ} n, x = 191.53695 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = - 0.2

Wende die Eigenschaften der Trigonometrie an

sin (x) = - 0.2

Allgemeine Lösung für

sin (x) = - 0.2

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

x = arcsin (- 0.2) + 2 πn, x = π + arcsin (0.2) + 2 πn

x = arcsin (- 0.2) + 2 πn, x = π + arcsin (0.2) + 2 πn

Zeige Lösungen in Dezimalform

x = - 0.20135 \dots + 2 πn, x = π + 0.20135 \dots + 2 πn

20 cos^{2} (x) - cos (x) - 1 = 0

2 cot (x) - tan (x) + 6 = 8 - tan (x)

so l v e f or x, 2 sin (x) + 1 = 0

8 tan (3 x) = 8

2 - cos (θ) = 2 sin^{2} (θ)