sin(x)= 7/11

Lösung

sin (x) = \frac{7}{11}

x = 0.68977 \dots + 2 πn, x = π - 0.68977 \dots + 2 πn

Grad

x = 39.52119 \dots^{\circ} + 36 0^{\circ} n, x = 140.47880 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{7}{11}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{7}{11}

Allgemeine Lösung für

sin (x) = \frac{7}{11}

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

x = arcsin (\frac{7}{11}) + 2 πn, x = π - arcsin (\frac{7}{11}) + 2 πn

x = arcsin (\frac{7}{11}) + 2 πn, x = π - arcsin (\frac{7}{11}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.68977 \dots + 2 πn, x = π - 0.68977 \dots + 2 πn

2 sec^{2} (x) = 3 tan (x) + 1

2 sec (t) = tan^{2} (t) + 1

2 sin (x) - 2 cos (x) = 3

8 cos (2 x) = 43

cos^{2} (θ) - sin^{2} (θ) = 1