cos(x)= 22/24

Lösung

cos (x) = \frac{22}{24}

x = 0.41113 \dots + 2 πn, x = 2 π - 0.41113 \dots + 2 πn

Grad

x = 23.55646 \dots^{\circ} + 36 0^{\circ} n, x = 336.44353 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{22}{24}

Streiche die gemeinsamen Faktoren:

2

cos (x) = \frac{11}{12}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{11}{12}

Allgemeine Lösung für

cos (x) = \frac{11}{12}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{11}{12}) + 2 πn, x = 2 π - arccos (\frac{11}{12}) + 2 πn

x = arccos (\frac{11}{12}) + 2 πn, x = 2 π - arccos (\frac{11}{12}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.41113 \dots + 2 πn, x = 2 π - 0.41113 \dots + 2 πn

sin (x) = \frac{1.2}{1.6}

sin (x) = \frac{14.9}{19.9725}

sin (θ) = \frac{1}{2}, 0 \leq θ \leq 4 π

3 - cosh (x) = 0

1 (sin (x) - 0.3 π) + 2 = 0