5cos(x)=1

Lösung

5 cos (x) = 1

x = 1.36943 \dots + 2 πn, x = 2 π - 1.36943 \dots + 2 πn

Grad

x = 78.46304 \dots^{\circ} + 36 0^{\circ} n, x = 281.53695 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

5 cos (x) = 1

Teile beide Seiten durch

5

5 cos (x) = 1

Teile beide Seiten durch

5

\frac{5 cos ( x )}{5} = \frac{1}{5}

Vereinfache

cos (x) = \frac{1}{5}

cos (x) = \frac{1}{5}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{1}{5}

Allgemeine Lösung für

cos (x) = \frac{1}{5}

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

x = arccos (\frac{1}{5}) + 2 πn, x = 2 π - arccos (\frac{1}{5}) + 2 πn

x = arccos (\frac{1}{5}) + 2 πn, x = 2 π - arccos (\frac{1}{5}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.36943 \dots + 2 πn, x = 2 π - 1.36943 \dots + 2 πn

3 cos (x) + 5 = 7, 0 \leq x \leq 2 π

9 sin (\frac{x}{2}) + 9 cos (x) = 0

sin^{2} (x) - sin (x) = 2, 0 \leq x \leq 2 π

cos (θ) = \frac{33}{55}

cos (4 x) cos (x) - sin (4 x) sin (x) = \frac{1}{2}