cos(x)= 3/5

Lösung

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

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{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

3 sec^{2} (x) - 2 tan^{2} (x) - 4 = 0

2 sin^{2} (2 x) = 1

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

cos (2 x) = sin (2 x) + 1

cos (x) = \frac{4}{5}