cos(θ)= 3/8

Lösung

cos (θ) = \frac{3}{8}

θ = 1.18639 \dots + 2 πn, θ = 2 π - 1.18639 \dots + 2 πn

Grad

θ = 67.97568 \dots^{\circ} + 36 0^{\circ} n, θ = 292.02431 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{3}{8}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{3}{8}

Allgemeine Lösung für

cos (θ) = \frac{3}{8}

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

θ = arccos (\frac{3}{8}) + 2 πn, θ = 2 π - arccos (\frac{3}{8}) + 2 πn

θ = arccos (\frac{3}{8}) + 2 πn, θ = 2 π - arccos (\frac{3}{8}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.18639 \dots + 2 πn, θ = 2 π - 1.18639 \dots + 2 πn

arccos (x) - arcsin (x) = arccos (\frac{3}{2})

\frac{1}{4} sin (4 t) = 0

2 cos (4 x) = 2 cos^{2} (2 x) - sin (2 x) - 1

1 - sin^{2} (θ) = 0

2 sin^{2} (x) + csc^{2} (x) = 3