sin(x)= 5/6

Lösung

sin (x) = \frac{5}{6}

x = 0.98511 \dots + 2 πn, x = π - 0.98511 \dots + 2 πn

Grad

x = 56.44269 \dots^{\circ} + 36 0^{\circ} n, x = 123.55730 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{5}{6}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{5}{6}

Allgemeine Lösung für

sin (x) = \frac{5}{6}

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

x = arcsin (\frac{5}{6}) + 2 πn, x = π - arcsin (\frac{5}{6}) + 2 πn

x = arcsin (\frac{5}{6}) + 2 πn, x = π - arcsin (\frac{5}{6}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.98511 \dots + 2 πn, x = π - 0.98511 \dots + 2 πn

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

csc (θ) = 4

2 sin (2 θ) = - 2

2 sin (2 x) = 2

2 sec (θ) + 1 = 0