sin(x)= 1/6

Lösung

sin (x) = \frac{1}{6}

x = 0.16744 \dots + 2 πn, x = π - 0.16744 \dots + 2 πn

Grad

x = 9.59406 \dots^{\circ} + 36 0^{\circ} n, x = 170.40593 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{1}{6}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{1}{6}

Allgemeine Lösung für

sin (x) = \frac{1}{6}

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

x = arcsin (\frac{1}{6}) + 2 πn, x = π - arcsin (\frac{1}{6}) + 2 πn

x = arcsin (\frac{1}{6}) + 2 πn, x = π - arcsin (\frac{1}{6}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.16744 \dots + 2 πn, x = π - 0.16744 \dots + 2 πn

tan (θ) = \frac{2}{5}

tan (x) + 3 cot (x) = 4

cos (2 x) [cos (2 x) - 3] = 0

cos^{2} (θ) = \frac{1}{4}

3 tan^{3} (x) - 3 tan^{2} (x) - tan (x) + 1 = 0