sin(x)=0.89

Lösung

sin (x) = 0.89

x = 1.09734 \dots + 2 πn, x = π - 1.09734 \dots + 2 πn

Grad

x = 62.87324 \dots^{\circ} + 36 0^{\circ} n, x = 117.12675 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = 0.89

Wende die Eigenschaften der Trigonometrie an

sin (x) = 0.89

Allgemeine Lösung für

sin (x) = 0.89

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

x = arcsin (0.89) + 2 πn, x = π - arcsin (0.89) + 2 πn

x = arcsin (0.89) + 2 πn, x = π - arcsin (0.89) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.09734 \dots + 2 πn, x = π - 1.09734 \dots + 2 πn

sin (x) = 0.02

p ro v e sec^{2} (x) + csc^{2} (x) = sec^{2} (x) csc^{2} (x)

p ro v e cos (3 x) = 4 cos^{3} (x) - 3 cos (x)

p ro v e csc (θ) - sin (θ) = cot (θ) cos (θ)

p ro v e sin (x) + cos (x) cot (x) = csc (x)