sin(θ)=-7/25

Lösung

sin (θ) = - \frac{7}{25}

θ = - 0.28379 \dots + 2 πn, θ = π + 0.28379 \dots + 2 πn

Grad

θ = - 16.26020 \dots^{\circ} + 36 0^{\circ} n, θ = 196.26020 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = - \frac{7}{25}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = - \frac{7}{25}

Allgemeine Lösung für

sin (θ) = - \frac{7}{25}

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

θ = arcsin (- \frac{7}{25}) + 2 πn, θ = π + arcsin (\frac{7}{25}) + 2 πn

θ = arcsin (- \frac{7}{25}) + 2 πn, θ = π + arcsin (\frac{7}{25}) + 2 πn

Zeige Lösungen in Dezimalform

θ = - 0.28379 \dots + 2 πn, θ = π + 0.28379 \dots + 2 πn

cos (\frac{θ}{2}) = - \frac{3}{2}

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

3 sec (θ) = 2

cosh (x) = - 1

5 sin (2 θ) = 7 cos (2 θ)