sin(θ)= 6/7

Lösung

sin (θ) = \frac{6}{7}

θ = 1.02969 \dots + 2 πn, θ = π - 1.02969 \dots + 2 πn

Grad

θ = 58.99728 \dots^{\circ} + 36 0^{\circ} n, θ = 121.00271 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{6}{7}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{6}{7}

Allgemeine Lösung für

sin (θ) = \frac{6}{7}

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

θ = arcsin (\frac{6}{7}) + 2 πn, θ = π - arcsin (\frac{6}{7}) + 2 πn

θ = arcsin (\frac{6}{7}) + 2 πn, θ = π - arcsin (\frac{6}{7}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.02969 \dots + 2 πn, θ = π - 1.02969 \dots + 2 πn

3 + 3 sin (θ) = 2 cos^{2} (θ)

4 sin (θ) + 7 = 5

cos (x) = 0.5, 0 \leq x \leq 2 π

2 sin (x) cos (x) + 3 cos (x) = 0

4 sin (x) = 3 cos (x)