sin(θ)=(1.5)/2

Lösung

sin (θ) = \frac{1.5}{2}

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{1.5}{2}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{1.5}{2}

Allgemeine Lösung für

sin (θ) = \frac{1.5}{2}

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

θ = arcsin (\frac{1.5}{2}) + 2 πn, θ = π - arcsin (\frac{1.5}{2}) + 2 πn

θ = arcsin (\frac{1.5}{2}) + 2 πn, θ = π - arcsin (\frac{1.5}{2}) + 2 πn

Zeige Lösungen in Dezimalform

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

- cos (θ) = cos (θ)

cos (x) = \frac{8}{21}

2 cos^{2} (x) - 2 cos (x) - 1 = 0

sin (b) = \frac{1}{3}

35 + 53 sin (2 T - 31.9) = 0