csc(x)=-(2sqrt(3))/3

Lösung

csc (x) = - \frac{2 3}{3}

x = \frac{4 π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Grad

x = 24 0^{\circ} + 36 0^{\circ} n, x = 30 0^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

csc (x) = - \frac{2 3}{3}

Allgemeine Lösung für

csc (x) = - \frac{2 3}{3}

csc (x)

Periodizitätstabelle mit

2 πn

Zyklus:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

x = \frac{4 π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

x = \frac{4 π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

sin (2 x) = - 5 cos (2 x), 0 \leq x \leq 2 π

2 cos^{2} (x) + 9 cos (x) - 5 = 0

cos (θ) = - \frac{3}{4}

tan (θ) = \frac{3}{2}

5 sin (θ) + 7 = 0