cos(x)= 4/5

Lösung

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

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

Grad

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 323.13010 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

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

Wende die Eigenschaften der Trigonometrie an

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

Allgemeine Lösung für

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

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

x = arccos (\frac{4}{5}) + 2 πn, x = 2 π - arccos (\frac{4}{5}) + 2 πn

x = arccos (\frac{4}{5}) + 2 πn, x = 2 π - arccos (\frac{4}{5}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

tan (x) - 1 = 0

tan^{2} (θ) - 3 tan (θ) + 2 = 0

tan (θ) = \frac{1}{3}

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

4 sin (x) cos (x) = 1