sin(x)= 1/7

Lösung

sin (x) = \frac{1}{7}

x = 0.14334 \dots + 2 πn, x = π - 0.14334 \dots + 2 πn

Grad

x = 8.21321 \dots^{\circ} + 36 0^{\circ} n, x = 171.78678 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{1}{7}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{1}{7}

Allgemeine Lösung für

sin (x) = \frac{1}{7}

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

x = arcsin (\frac{1}{7}) + 2 πn, x = π - arcsin (\frac{1}{7}) + 2 πn

x = arcsin (\frac{1}{7}) + 2 πn, x = π - arcsin (\frac{1}{7}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.14334 \dots + 2 πn, x = π - 0.14334 \dots + 2 πn

tan (\frac{θ}{2}) = - 1

tan (\frac{θ}{2}) = 1

4 sin^{2} (x) cot (x) - 2 cot (x) = 0

cos (2 θ) + sin (θ) = 0

tan (θ + \frac{π}{6}) = - 3