cos(θ)=0.5747

Lösung

cos (θ) = 0.5747

θ = 0.95855 \dots + 2 πn, θ = 2 π - 0.95855 \dots + 2 πn

Grad

θ = 54.92137 \dots^{\circ} + 36 0^{\circ} n, θ = 305.07862 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = 0.5747

Wende die Eigenschaften der Trigonometrie an

cos (θ) = 0.5747

Allgemeine Lösung für

cos (θ) = 0.5747

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

θ = arccos (0.5747) + 2 πn, θ = 2 π - arccos (0.5747) + 2 πn

θ = arccos (0.5747) + 2 πn, θ = 2 π - arccos (0.5747) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.95855 \dots + 2 πn, θ = 2 π - 0.95855 \dots + 2 πn

0 = \frac{110 cos ( 377 t )}{8}

sin (2 x + 3) = 0.5

0 = - sin (2 x) - sin (x)

so l v e f or x, 4 sin (x) cos (x) = 1

sin (θ) = - 3