sin(x)=-12/13

Lösung

sin (x) = - \frac{12}{13}

x = - 1.17600 \dots + 2 πn, x = π + 1.17600 \dots + 2 πn

Grad

x = - 67.38013 \dots^{\circ} + 36 0^{\circ} n, x = 247.38013 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = - \frac{12}{13}

Wende die Eigenschaften der Trigonometrie an

sin (x) = - \frac{12}{13}

Allgemeine Lösung für

sin (x) = - \frac{12}{13}

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

x = arcsin (- \frac{12}{13}) + 2 πn, x = π + arcsin (\frac{12}{13}) + 2 πn

x = arcsin (- \frac{12}{13}) + 2 πn, x = π + arcsin (\frac{12}{13}) + 2 πn

Zeige Lösungen in Dezimalform

x = - 1.17600 \dots + 2 πn, x = π + 1.17600 \dots + 2 πn

2 sin^{2} (x) + 7 sin (x) - 4 = 0

cos (\frac{5 π}{4} + x) + sin (\frac{5 π}{4} - x) = 0

cos (2 x) + sin (2 x) = 1

so l v e f or θ, sin (θ) = \frac{1}{2}

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