sin(a)=0.143

Lösung

sin (a) = 0.143

a = 0.14349 \dots + 2 πn, a = π - 0.14349 \dots + 2 πn

Grad

a = 8.22148 \dots^{\circ} + 36 0^{\circ} n, a = 171.77851 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (a) = 0.143

Wende die Eigenschaften der Trigonometrie an

sin (a) = 0.143

Allgemeine Lösung für

sin (a) = 0.143

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

a = arcsin (0.143) + 2 πn, a = π - arcsin (0.143) + 2 πn

a = arcsin (0.143) + 2 πn, a = π - arcsin (0.143) + 2 πn

Zeige Lösungen in Dezimalform

a = 0.14349 \dots + 2 πn, a = π - 0.14349 \dots + 2 πn

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

sin (a) = 1.25

(1 + \frac{tan ^{2} ( a )}{1} + cot^{2} (a)) = tan^{2} (a)

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

4 cos^{2} (x) - 11 cos (x) + 7 = 0