sin(θ)= 1/4

Lösung

sin (θ) = \frac{1}{4}

θ = 0.25268 \dots + 2 πn, θ = π - 0.25268 \dots + 2 πn

Grad

θ = 14.47751 \dots^{\circ} + 36 0^{\circ} n, θ = 165.52248 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{1}{4}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{1}{4}

Allgemeine Lösung für

sin (θ) = \frac{1}{4}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

θ = arcsin (\frac{1}{4}) + 2 πn, θ = π - arcsin (\frac{1}{4}) + 2 πn

θ = arcsin (\frac{1}{4}) + 2 πn, θ = π - arcsin (\frac{1}{4}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.25268 \dots + 2 πn, θ = π - 0.25268 \dots + 2 πn

2 sin (θ) + 3 = 2

3 sin (θ) + cos (θ) = 0

cos^{2} (x) = \frac{1}{4}

sin (x) + 2 = - sin (x)

cos (x) = \frac{12}{13}