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Beliebt Trigonometrie >

cos(x)=(11)/(sqrt(17*38))

Lösung

cos (x) = \frac{11}{17 \cdot 38}

Lösung

x = 1.12321 \dots + 2 πn, x = 2 π - 1.12321 \dots + 2 πn

+1

Radianten

x = 1.12321 \dots + 6.28318 \dots n, x = 5.15997 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (x) = \frac{11}{17 \cdot 38}

Vereinfache

\frac{11}{17 \cdot 38} : \frac{11 646}{646}

\frac{11}{17 \cdot 38}

Multipliziere die Zahlen:

17 \cdot 38 = 646

= \frac{11}{646}

Rationalisiere

\frac{11}{646} : \frac{11 646}{646}

\frac{11}{646}

Multipliziere mit dem Konjugat

\frac{646}{646}

= \frac{11 646}{646 646}

646646 = 646

646646

Wende Radikal Regel an:

a a = a

646646 = 646

= 646

= \frac{11 646}{646}

= \frac{11 646}{646}

cos (x) = \frac{11 646}{646}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{11 646}{646}

Allgemeine Lösung für

cos (x) = \frac{11 646}{646}

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

x = arccos (\frac{11 646}{646}) + 2 πn, x = 2 π - arccos (\frac{11 646}{646}) + 2 πn

x = arccos (\frac{11 646}{646}) + 2 πn, x = 2 π - arccos (\frac{11 646}{646}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.12321 \dots + 2 πn, x = 2 π - 1.12321 \dots + 2 πn

Graph

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