10cos(x)=8

Lösung

10 cos (x) = 8

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

10 cos (x) = 8

Teile beide Seiten durch

10

10 cos (x) = 8

Teile beide Seiten durch

10

\frac{10 cos ( x )}{10} = \frac{8}{10}

Vereinfache

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

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

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

so l v e f or x, r + s - 6 t = cos (2 x + y)

cos (x) = - \frac{3}{4}, tan (x) i s

cos (θ) = \frac{- 1}{3}

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