cos(y)=0

Lösung

cos (y) = 0

y = \frac{π}{2} + 2 πn, y = \frac{3 π}{2} + 2 πn

Grad

y = 9 0^{\circ} + 36 0^{\circ} n, y = 27 0^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (y) = 0

Allgemeine Lösung für

cos (y) = 0

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} 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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

y = \frac{π}{2} + 2 πn, y = \frac{3 π}{2} + 2 πn

y = \frac{π}{2} + 2 πn, y = \frac{3 π}{2} + 2 πn

2 sin^{2} (x) - 3 sin (x) = - 1

3 cos^{2} (θ) + 2 sin (θ) - 1 = 0

2 sin^{2} (θ) - 3 sin (θ) - 2 = 0

2 cos (x) - 1 = 0

cos (x) = cos (2 x)