sin(x)= 6/7

Lösung

sin (x) = \frac{6}{7}

x = 1.02969 \dots + 2 πn, x = π - 1.02969 \dots + 2 πn

Grad

x = 58.99728 \dots^{\circ} + 36 0^{\circ} n, x = 121.00271 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{6}{7}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{6}{7}

Allgemeine Lösung für

sin (x) = \frac{6}{7}

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

x = arcsin (\frac{6}{7}) + 2 πn, x = π - arcsin (\frac{6}{7}) + 2 πn

x = arcsin (\frac{6}{7}) + 2 πn, x = π - arcsin (\frac{6}{7}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.02969 \dots + 2 πn, x = π - 1.02969 \dots + 2 πn

sin (\frac{θ}{2}) = \frac{1}{2}

4 cos (θ) - 22 = 0

4 cos (4 x) = 0

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

cos (2 x) + sin (x) = 0, 0 \leq x \leq 2 π