sin(x)=(-3)/4

Lösung

sin (x) = \frac{- 3}{4}

x = - 0.84806 \dots + 2 πn, x = π + 0.84806 \dots + 2 πn

Grad

x = - 48.59037 \dots^{\circ} + 36 0^{\circ} n, x = 228.59037 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{- 3}{4}

Wende Bruchregel an:

\frac{- a}{b} = - \frac{a}{b}

sin (x) = - \frac{3}{4}

Wende die Eigenschaften der Trigonometrie an

sin (x) = - \frac{3}{4}

Allgemeine Lösung für

sin (x) = - \frac{3}{4}

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

x = arcsin (- \frac{3}{4}) + 2 πn, x = π + arcsin (\frac{3}{4}) + 2 πn

x = arcsin (- \frac{3}{4}) + 2 πn, x = π + arcsin (\frac{3}{4}) + 2 πn

Zeige Lösungen in Dezimalform

x = - 0.84806 \dots + 2 πn, x = π + 0.84806 \dots + 2 πn

cot^{2} (x) - 3 cot (x) = 0

tan (θ) = 2

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

sin (2 θ) + cos (2 θ) = 1

2 cos^{2} (x) - sin (x) + 1 = 0