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Beliebt Trigonometrie >

0.6=cos^2(x)

Lösung

0.6 = cos^{2} (x)

Lösung

x = 0.68471 \dots + 2 πn, x = 2 π - 0.68471 \dots + 2 πn, x = 2.45687 \dots + 2 πn, x = - 2.45687 \dots + 2 πn

+1

Grad

x = 39.23152 \dots^{\circ} + 36 0^{\circ} n, x = 320.76847 \dots^{\circ} + 36 0^{\circ} n, x = 140.76847 \dots^{\circ} + 36 0^{\circ} n, x = - 140.76847 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

0.6 = cos^{2} (x)

Tausche die Seiten

cos^{2} (x) = 0.6

Löse mit Substitution

cos^{2} (x) = 0.6

Angenommen:

cos (x) = u

u^{2} = 0.6

u^{2} = 0.6 : u = 0.6, u = - 0.6

u^{2} = 0.6

Für

x^{2} = f (a)

sind die Lösungen

x = f (a), - f (a)

u = 0.6, u = - 0.6

Setze in

u = cos (x)

ein

cos (x) = 0.6, cos (x) = - 0.6

cos (x) = 0.6, cos (x) = - 0.6

cos (x) = 0.6 : x = arccos (0.6) + 2 πn, x = 2 π - arccos (0.6) + 2 πn

cos (x) = 0.6

Wende die Eigenschaften der Trigonometrie an

cos (x) = 0.6

Allgemeine Lösung für

cos (x) = 0.6

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (0.6) + 2 πn, x = 2 π - arccos (0.6) + 2 πn

x = arccos (0.6) + 2 πn, x = 2 π - arccos (0.6) + 2 πn

cos (x) = - 0.6 : x = arccos (- 0.6) + 2 πn, x = - arccos (- 0.6) + 2 πn

cos (x) = - 0.6

Wende die Eigenschaften der Trigonometrie an

cos (x) = - 0.6

Allgemeine Lösung für

cos (x) = - 0.6

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

x = arccos (- 0.6) + 2 πn, x = - arccos (- 0.6) + 2 πn

x = arccos (- 0.6) + 2 πn, x = - arccos (- 0.6) + 2 πn

Kombiniere alle Lösungen

x = arccos (0.6) + 2 πn, x = 2 π - arccos (0.6) + 2 πn, x = arccos (- 0.6) + 2 πn, x = - arccos (- 0.6) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.68471 \dots + 2 πn, x = 2 π - 0.68471 \dots + 2 πn, x = 2.45687 \dots + 2 πn, x = - 2.45687 \dots + 2 πn

Graph

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