cos(x)=((sqrt(2)))/2

Lösung

cos (x) = \frac{( 2 )}{2}

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Grad

x = 4 5^{\circ} + 36 0^{\circ} n, x = 31 5^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{( 2 )}{2}

Allgemeine Lösung für

cos (x) = \frac{2}{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}

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

csc^{2} (x) = 5 csc (x) + 6

tan (θ) = 1770

23 sin (2 x) = 3

cos (\frac{x}{2}) - cos (x) = 0

cos (2 t) = cos (t), 0 \leq t < 2 π