5cos(x)=3

Lösung

5 cos (x) = 3

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

5 cos (x) = 3

Teile beide Seiten durch

5

5 cos (x) = 3

Teile beide Seiten durch

5

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

Vereinfache

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

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

6 cos^{2} (x) - 5 sin (x) = 2

arccos (2 x) = \frac{π}{3}

sin (x + \frac{π}{4}) = 2 cos (x)

5 cos (2 x) - cos (x) + 3 = 0

4 tan^{2} (θ) = 12, 0 \leq θ < 2 π