de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Trigonometrie >

cos^2(θ)=0.75

Lösung

cos^{2} (θ) = 0.75

Lösung

θ = 0.52359 \dots + 2 πn, θ = 2 π - 0.52359 \dots + 2 πn, θ = 2.61799 \dots + 2 πn, θ = - 2.61799 \dots + 2 πn

+1

Grad

θ = 3 0^{\circ} + 36 0^{\circ} n, θ = 329.99999 \dots^{\circ} + 36 0^{\circ} n, θ = 15 0^{\circ} + 36 0^{\circ} n, θ = - 15 0^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos^{2} (θ) = 0.75

Löse mit Substitution

cos^{2} (θ) = 0.75

Angenommen:

cos (θ) = u

u^{2} = 0.75

u^{2} = 0.75 : u = 0.75, u = - 0.75

u^{2} = 0.75

Für

x^{2} = f (a)

sind die Lösungen

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

u = 0.75, u = - 0.75

Setze in

u = cos (θ)

ein

cos (θ) = 0.75, cos (θ) = - 0.75

cos (θ) = 0.75, cos (θ) = - 0.75

cos (θ) = 0.75 : θ = arccos (0.75) + 2 πn, θ = 2 π - arccos (0.75) + 2 πn

cos (θ) = 0.75

Wende die Eigenschaften der Trigonometrie an

cos (θ) = 0.75

Allgemeine Lösung für

cos (θ) = 0.75

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

θ = arccos (0.75) + 2 πn, θ = 2 π - arccos (0.75) + 2 πn

θ = arccos (0.75) + 2 πn, θ = 2 π - arccos (0.75) + 2 πn

cos (θ) = - 0.75 : θ = arccos (- 0.75) + 2 πn, θ = - arccos (- 0.75) + 2 πn

cos (θ) = - 0.75

Wende die Eigenschaften der Trigonometrie an

cos (θ) = - 0.75

Allgemeine Lösung für

cos (θ) = - 0.75

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

θ = arccos (- 0.75) + 2 πn, θ = - arccos (- 0.75) + 2 πn

θ = arccos (- 0.75) + 2 πn, θ = - arccos (- 0.75) + 2 πn

Kombiniere alle Lösungen

θ = arccos (0.75) + 2 πn, θ = 2 π - arccos (0.75) + 2 πn, θ = arccos (- 0.75) + 2 πn, θ = - arccos (- 0.75) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.52359 \dots + 2 πn, θ = 2 π - 0.52359 \dots + 2 πn, θ = 2.61799 \dots + 2 πn, θ = - 2.61799 \dots + 2 πn

Graph

Beliebte Beispiele

cos(y_{0})=((a_{0}*n_{0}))/(\mid)a_{0}\mid

cos (y_{0}) = \frac{( a _{0} \cdot n _{0} )}{∣} a_{0} ∣

tan (θ) = - 6

8sin(x)tan(x)-7tan(x)=0

8 sin (x) tan (x) - 7 tan (x) = 0

cos(x)-sin(2x)=cos(3x)-sin(4x)

cos (x) - sin (2 x) = cos (3 x) - sin (4 x)

cos^2(θ)=2+2sin(θ)

cos^{2} (θ) = 2 + 2 sin (θ)