sin(θ)= 3/4

Lösung

sin (θ) = \frac{3}{4}

θ = 0.84806 \dots + 2 πn, θ = π - 0.84806 \dots + 2 πn

Grad

θ = 48.59037 \dots^{\circ} + 36 0^{\circ} n, θ = 131.40962 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{3}{4}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{3}{4}

Allgemeine Lösung für

sin (θ) = \frac{3}{4}

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

θ = arcsin (\frac{3}{4}) + 2 πn, θ = π - arcsin (\frac{3}{4}) + 2 πn

θ = arcsin (\frac{3}{4}) + 2 πn, θ = π - arcsin (\frac{3}{4}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.84806 \dots + 2 πn, θ = π - 0.84806 \dots + 2 πn

3 tan (x) = 3

sin^{2} (θ) = \frac{1}{2}

1 + cos (θ) = 1 - sin (θ)

sin^{2} (x) - 2 sin (x) = 0

2 sin (x) = tan (x)