cos(x)= 5/12

Lösung

cos (x) = \frac{5}{12}

x = 1.14102 \dots + 2 πn, x = 2 π - 1.14102 \dots + 2 πn

Grad

x = 65.37568 \dots^{\circ} + 36 0^{\circ} n, x = 294.62431 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{5}{12}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{5}{12}

Allgemeine Lösung für

cos (x) = \frac{5}{12}

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

x = arccos (\frac{5}{12}) + 2 πn, x = 2 π - arccos (\frac{5}{12}) + 2 πn

x = arccos (\frac{5}{12}) + 2 πn, x = 2 π - arccos (\frac{5}{12}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.14102 \dots + 2 πn, x = 2 π - 1.14102 \dots + 2 πn

so l v e f or a, 9 0^{\circ} = 18 0^{\circ} - 2 \cdot arccos (\frac{2 a}{c})

cos (x) = \frac{π}{4}

4 tanh (x) - \frac{1}{cosh ( x )} = 1

2 sin (θ) cos (θ) = sin (θ)

cos (θ) = - \frac{11}{6}