cos(y)= 1/2

Lösung

cos (y) = \frac{1}{2}

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

Grad

y = 6 0^{\circ} + 36 0^{\circ} n, y = 30 0^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (y) = \frac{1}{2}

Allgemeine Lösung für

cos (y) = \frac{1}{2}

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}{3} + 2 πn, y = \frac{5 π}{3} + 2 πn

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

tan (x) = \frac{cos ( x )}{sin ( x )}

4 tan (x) - 3 = 7 tan (x)

sin (x) = π

sin (x) - cos (x) = 0.5

tan (x) sin (x) + tan (x) = 0