sin(θ)=-3/8

Lösung

sin (θ) = - \frac{3}{8}

θ = - 0.38439 \dots + 2 πn, θ = π + 0.38439 \dots + 2 πn

Grad

θ = - 22.02431 \dots^{\circ} + 36 0^{\circ} n, θ = 202.02431 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = - \frac{3}{8}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = - \frac{3}{8}

Allgemeine Lösung für

sin (θ) = - \frac{3}{8}

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

θ = arcsin (- \frac{3}{8}) + 2 πn, θ = π + arcsin (\frac{3}{8}) + 2 πn

θ = arcsin (- \frac{3}{8}) + 2 πn, θ = π + arcsin (\frac{3}{8}) + 2 πn

Zeige Lösungen in Dezimalform

θ = - 0.38439 \dots + 2 πn, θ = π + 0.38439 \dots + 2 πn

sin (2 x - 20) = - cos (3 x + 50)

\frac{sin ( 6 0 ^{\circ} )}{174.36} = \frac{sin ( x )}{200}

cos (x) = \frac{8}{13}

cos^{2} (4 x) - sin^{2} (4 x) = 0

cos (x) = \frac{8}{15}