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Beliebt Trigonometrie >

cos(x)=sqrt(2/2)

Lösung

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

Lösung

x = 2 πn

+1

Radianten

x = 0 + 2 πn

Schritte zur Lösung

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

Vereinfache

\frac{2}{2} : 1

\frac{2}{2}

Wende Regel an

\frac{a}{a} = 1

\frac{2}{2} = 1

= 1

Wende Regel an

1 = 1

= 1

Allgemeine Lösung für

cos (x) = 1

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 = 0 + 2 πn

x = 0 + 2 πn

Löse

x = 0 + 2 πn : x = 2 πn

x = 0 + 2 πn

0 + 2 πn = 2 πn

x = 2 πn

x = 2 πn

Graph

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