cos(a)= 1/2

Lösung

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

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

Grad

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

Schritte zur Lösung

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

Allgemeine Lösung für

cos (a) = \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}

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

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

cos^{2} (θ) = \frac{3}{4}

tan (θ) = \frac{3}{8}

9 cos (x) + 5 = - cos (x)

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

tan (θ) = \frac{1}{4}