0.75=sin(x)

Lösung

0.75 = sin (x)

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

Grad

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

Schritte zur Lösung

0.75 = sin (x)

Tausche die Seiten

sin (x) = 0.75

Wende die Eigenschaften der Trigonometrie an

sin (x) = 0.75

Allgemeine Lösung für

sin (x) = 0.75

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

x = arcsin (0.75) + 2 πn, x = π - arcsin (0.75) + 2 πn

x = arcsin (0.75) + 2 πn, x = π - arcsin (0.75) + 2 πn

Zeige Lösungen in Dezimalform

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

7 cos^{2} (x) - 1 = 5 cos (x), 0 \leq x \leq 2 π

2 cos^{2} (θ) = 3 sin (θ) + 3

cos (π x^{2}) = 0

16 tan^{2} (θ) - 1 = 0

sin^{2} (x) + \frac{5}{14} = \frac{6}{7}