cos(y_{0})=((a_{0}*n_{0}))/(\mid)a_{0}\mid

Lösung

cos (y_{0}) = \frac{( a _{0} \cdot n _{0} )}{∣} a_{0} ∣

y_{0} = arccos (a_{0}^{2} n_{0}) + 2 πn, y_{0} = - arccos (a_{0}^{2} n_{0}) + 2 πn

Schritte zur Lösung

cos (y_{0}) = \frac{( a _{0} n _{0} )}{∣} a_{0} ∣

Vereinfache

\frac{a _{0} n _{0}}{∣} a_{0} ∣ : a_{0}^{2} n_{0}

\frac{a _{0} n _{0}}{∣} a_{0} ∣

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{a _{0} n _{0} a _{0} ∣}{∣}

Streiche die gemeinsamen Faktoren:

∣

= a_{0} n_{0} a_{0}

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

a_{0} a_{0} = a_{0}^{1 + 1}

= n_{0} a_{0}^{1 + 1}

Addiere die Zahlen:

1 + 1 = 2

= n_{0} a_{0}^{2}

Wende die Eigenschaften der Trigonometrie an

cos (y_{0}) = a_{0}^{2} n_{0}

Allgemeine Lösung für

cos (y_{0}) = a_{0}^{2} n_{0}

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

y_{0} = arccos (a_{0}^{2} n_{0}) + 2 πn, y_{0} = - arccos (a_{0}^{2} n_{0}) + 2 πn

y_{0} = arccos (a_{0}^{2} n_{0}) + 2 πn, y_{0} = - arccos (a_{0}^{2} n_{0}) + 2 πn

tan (θ) = - 6

8 sin (x) tan (x) - 7 tan (x) = 0

cos (x) - sin (2 x) = cos (3 x) - sin (4 x)

cos^{2} (θ) = 2 + 2 sin (θ)

cos (x) - 2 cos (x) sin (x) = 0