sin(u)=-0.9

Lösung

sin (u) = - 0.9

u = - 1.11976 \dots + 2 πn, u = π + 1.11976 \dots + 2 πn

Grad

u = - 64.15806 \dots^{\circ} + 36 0^{\circ} n, u = 244.15806 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (u) = - 0.9

Wende die Eigenschaften der Trigonometrie an

sin (u) = - 0.9

Allgemeine Lösung für

sin (u) = - 0.9

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

u = arcsin (- 0.9) + 2 πn, u = π + arcsin (0.9) + 2 πn

u = arcsin (- 0.9) + 2 πn, u = π + arcsin (0.9) + 2 πn

Zeige Lösungen in Dezimalform

u = - 1.11976 \dots + 2 πn, u = π + 1.11976 \dots + 2 πn

- \frac{3}{2} = - \frac{1}{2} sec (x)

sin (3 x + 1) = \frac{1}{2}

cos (x) = \frac{1 3 ^{2} + 1 8 ^{2} - 2 8 ^{2}}{2 \cdot 13 \cdot 18}

0.16085 = sin (\frac{2 π}{365} (x - 114))

sin (x) = - \frac{8}{17}, π \leq x \leq \frac{3 π}{2}, sin (2 x)