sin(θ)= 1/7

Lösung

sin (θ) = \frac{1}{7}

θ = 0.14334 \dots + 2 πn, θ = π - 0.14334 \dots + 2 πn

Grad

θ = 8.21321 \dots^{\circ} + 36 0^{\circ} n, θ = 171.78678 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{1}{7}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{1}{7}

Allgemeine Lösung für

sin (θ) = \frac{1}{7}

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

θ = arcsin (\frac{1}{7}) + 2 πn, θ = π - arcsin (\frac{1}{7}) + 2 πn

θ = arcsin (\frac{1}{7}) + 2 πn, θ = π - arcsin (\frac{1}{7}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.14334 \dots + 2 πn, θ = π - 0.14334 \dots + 2 πn

2 cos^{2} (x) - 5 cos (x) = 3

4 arctan (x) = π

sec^{2} (x) + 3 = 5

sec (θ) + 2 = 22

tan (x) sin (x) + sin (- x) = 0