csc(x)=7

Lösung

csc (x) = 7

x = 0.14334 \dots + 2 πn, x = π - 0.14334 \dots + 2 πn

Grad

x = 8.21321 \dots^{\circ} + 36 0^{\circ} n, x = 171.78678 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

csc (x) = 7

Wende die Eigenschaften der Trigonometrie an

csc (x) = 7

Allgemeine Lösung für

csc (x) = 7

csc (x) = a \Rightarrow x = arccsc (a) + 2 πn, x = π - arccsc (a) + 2 πn

x = arccsc (7) + 2 πn, x = π - arccsc (7) + 2 πn

x = arccsc (7) + 2 πn, x = π - arccsc (7) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.14334 \dots + 2 πn, x = π - 0.14334 \dots + 2 πn

sin (2 θ) - cos (θ) - 2 sin (θ) + 1 = 0

2 cos (x) + 1 = 0 - 2, π \leq x \leq 2 π

cos^{3} (x) = - cos (x)

cos (x) = - \frac{12}{13}

so l v e f or x, z = arcsin (\frac{x}{y})