sin(b)=0.775

Lösung

sin (b) = 0.775

b = 0.88671 \dots + 2 πn, b = π - 0.88671 \dots + 2 πn

Grad

b = 50.80503 \dots^{\circ} + 36 0^{\circ} n, b = 129.19496 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (b) = 0.775

Wende die Eigenschaften der Trigonometrie an

sin (b) = 0.775

Allgemeine Lösung für

sin (b) = 0.775

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

b = arcsin (0.775) + 2 πn, b = π - arcsin (0.775) + 2 πn

b = arcsin (0.775) + 2 πn, b = π - arcsin (0.775) + 2 πn

Zeige Lösungen in Dezimalform

b = 0.88671 \dots + 2 πn, b = π - 0.88671 \dots + 2 πn

- 2 cos^{2} (x) + 3 sin (x) + 3 = 0

2 cos^{2} (x) = 3 \cdot cos (x)

4 (cos (x) + 1) cos (x) = 3

sin^{2} (x) + 1 = cos^{2} (x) - 2 sin^{4} (x)

tan^{2} (x) - 1 = 2