sin(t)= 3/4

Lösung

sin (t) = \frac{3}{4}

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

Grad

t = 48.59037 \dots^{\circ} + 36 0^{\circ} n, t = 131.40962 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (t) = \frac{3}{4}

Wende die Eigenschaften der Trigonometrie an

sin (t) = \frac{3}{4}

Allgemeine Lösung für

sin (t) = \frac{3}{4}

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

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

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

Zeige Lösungen in Dezimalform

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

cos (2 θ) = \frac{- 3}{2}

cos (θ) = 0.65

- \frac{2}{3} sin (x) + \frac{1}{3} sin (2 x) = 0

cos (θ) = 0.84

cos (θ) = 0.88