cos(x)= 14/24

Lösung

cos (x) = \frac{14}{24}

x = 0.94796 \dots + 2 πn, x = 2 π - 0.94796 \dots + 2 πn

Grad

x = 54.31466 \dots^{\circ} + 36 0^{\circ} n, x = 305.68533 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{14}{24}

Streiche die gemeinsamen Faktoren:

2

cos (x) = \frac{7}{12}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{7}{12}

Allgemeine Lösung für

cos (x) = \frac{7}{12}

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

x = arccos (\frac{7}{12}) + 2 πn, x = 2 π - arccos (\frac{7}{12}) + 2 πn

x = arccos (\frac{7}{12}) + 2 πn, x = 2 π - arccos (\frac{7}{12}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.94796 \dots + 2 πn, x = 2 π - 0.94796 \dots + 2 πn

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

cos (θ) = - 3

\frac{1}{cos ( x )} = 2

2 tan^{2} (x) = - 3 sec (x)

tan (θ) + 1 = 2