sin(θ)= 8/17

Lösung

sin (θ) = \frac{8}{17}

θ = 0.48995 \dots + 2 πn, θ = π - 0.48995 \dots + 2 πn

Grad

θ = 28.07248 \dots^{\circ} + 36 0^{\circ} n, θ = 151.92751 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{8}{17}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{8}{17}

Allgemeine Lösung für

sin (θ) = \frac{8}{17}

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

θ = arcsin (\frac{8}{17}) + 2 πn, θ = π - arcsin (\frac{8}{17}) + 2 πn

θ = arcsin (\frac{8}{17}) + 2 πn, θ = π - arcsin (\frac{8}{17}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.48995 \dots + 2 πn, θ = π - 0.48995 \dots + 2 πn

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

7 sin (x) cos (x) = 8 cos (x)

sin (θ) = \frac{6}{7}

3 + 3 sin (θ) = 2 cos^{2} (θ)

4 sin (θ) + 7 = 5