sin(x)= 9/11

Lösung

sin (x) = \frac{9}{11}

x = 0.95824 \dots + 2 πn, x = π - 0.95824 \dots + 2 πn

Grad

x = 54.90319 \dots^{\circ} + 36 0^{\circ} n, x = 125.09680 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{9}{11}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{9}{11}

Allgemeine Lösung für

sin (x) = \frac{9}{11}

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

x = arcsin (\frac{9}{11}) + 2 πn, x = π - arcsin (\frac{9}{11}) + 2 πn

x = arcsin (\frac{9}{11}) + 2 πn, x = π - arcsin (\frac{9}{11}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.95824 \dots + 2 πn, x = π - 0.95824 \dots + 2 πn

sec^{2} (x) = - 4

0 = 2 sin (x) + 1

cos (θ) = \frac{- 1}{2}

cos^{2} (θ) - cos (θ) - 6 = 0

so l v e f or x, 0 = 1 + cos (x)