cos(x)= 6/10

Lösung

cos (x) = \frac{6}{10}

x = 0.92729 \dots + 2 πn, x = 2 π - 0.92729 \dots + 2 πn

Grad

x = 53.13010 \dots^{\circ} + 36 0^{\circ} n, x = 306.86989 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{6}{10}

Streiche die gemeinsamen Faktoren:

2

cos (x) = \frac{3}{5}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{3}{5}

Allgemeine Lösung für

cos (x) = \frac{3}{5}

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

x = arccos (\frac{3}{5}) + 2 πn, x = 2 π - arccos (\frac{3}{5}) + 2 πn

x = arccos (\frac{3}{5}) + 2 πn, x = 2 π - arccos (\frac{3}{5}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.92729 \dots + 2 πn, x = 2 π - 0.92729 \dots + 2 πn

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

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

cos (3 x) = - sin (x + \frac{π}{6})

sin (θ) = \frac{7}{10}

tan (5 x) = 1