4cos(x)=3

Lösung

4 cos (x) = 3

x = 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn

Grad

x = 41.40962 \dots^{\circ} + 36 0^{\circ} n, x = 318.59037 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

4 cos (x) = 3

Teile beide Seiten durch

4

4 cos (x) = 3

Teile beide Seiten durch

4

\frac{4 cos ( x )}{4} = \frac{3}{4}

Vereinfache

cos (x) = \frac{3}{4}

cos (x) = \frac{3}{4}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{3}{4}

Allgemeine Lösung für

cos (x) = \frac{3}{4}

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

x = arccos (\frac{3}{4}) + 2 πn, x = 2 π - arccos (\frac{3}{4}) + 2 πn

x = arccos (\frac{3}{4}) + 2 πn, x = 2 π - arccos (\frac{3}{4}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn

cos (x + \frac{1}{6} π) cos (x - \frac{1}{6} π) = cos (2 x)

sin (x) = 0.731

sin (x) = 0.766

sin (x) = 0.755

3 tan^{2} (x) - 5 tan (x) + 2 = 0