csc(x)=6

Lösung

csc (x) = 6

x = 0.16744 \dots + 2 πn, x = π - 0.16744 \dots + 2 πn

Grad

x = 9.59406 \dots^{\circ} + 36 0^{\circ} n, x = 170.40593 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

csc (x) = 6

Wende die Eigenschaften der Trigonometrie an

csc (x) = 6

Allgemeine Lösung für

csc (x) = 6

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

x = arccsc (6) + 2 πn, x = π - arccsc (6) + 2 πn

x = arccsc (6) + 2 πn, x = π - arccsc (6) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.16744 \dots + 2 πn, x = π - 0.16744 \dots + 2 πn

(sin (x))^{s i n (x)} = 2

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

sin^{2} (x) - 2 cos (x) - 2 = 0

\frac{1}{2} tan^{2} (x) = 1 - sec (x)

sin (2 x) = sin^{2} (x)