sin(a)=0.2315

Lösung

sin (a) = 0.2315

a = 0.23361 \dots + 2 πn, a = π - 0.23361 \dots + 2 πn

Grad

a = 13.38539 \dots^{\circ} + 36 0^{\circ} n, a = 166.61460 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (a) = 0.2315

Wende die Eigenschaften der Trigonometrie an

sin (a) = 0.2315

Allgemeine Lösung für

sin (a) = 0.2315

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

a = arcsin (0.2315) + 2 πn, a = π - arcsin (0.2315) + 2 πn

a = arcsin (0.2315) + 2 πn, a = π - arcsin (0.2315) + 2 πn

Zeige Lösungen in Dezimalform

a = 0.23361 \dots + 2 πn, a = π - 0.23361 \dots + 2 πn

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

sin (x) sin^{3} (x) - sin^{5} (x) sin^{3} (x) = 0

5 sin^{2} (x) = 2 sin (x)

3 cos^{2} (x) + 5 sin (x) - 4 = 0

so l v e f or x, d^{2} + 3 d + 2 y = 4 cos^{2} (x)