sin(θ)=(sqrt(3))/3

Lösung

sin (θ) = \frac{3}{3}

θ = 0.61547 \dots + 2 πn, θ = π - 0.61547 \dots + 2 πn

Grad

θ = 35.26438 \dots^{\circ} + 36 0^{\circ} n, θ = 144.73561 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{3}{3}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{3}{3}

Allgemeine Lösung für

sin (θ) = \frac{3}{3}

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

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

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

Zeige Lösungen in Dezimalform

θ = 0.61547 \dots + 2 πn, θ = π - 0.61547 \dots + 2 πn

tan (x + π) + cos (x + \frac{π}{2}) = 0

sin (θ) cos (θ) = \frac{3}{4}

tan (x + \frac{π}{6}) = 3

cos (2 θ) - sin^{2} (θ) = 0

\frac{sin ( 8 0 ^{\circ} )}{5} = \frac{sin ( x )}{4}