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Beliebt Trigonometrie >

9.2cos(x)=6.3

Lösung

9.2 cos (x) = 6.3

Lösung

x = 0.81649 \dots + 2 πn, x = 2 π - 0.81649 \dots + 2 πn

Grad

x = 46.78148 \dots^{\circ} + 36 0^{\circ} n, x = 313.21851 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

9.2 cos (x) = 6.3

Multipliziere beide Seiten mit

10

9.2 cos (x) = 6.3

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

10

9.2 cos (x) \cdot 10 = 6.3 \cdot 10

Fasse zusammen

92 cos (x) = 63

92 cos (x) = 63

Teile beide Seiten durch

92

92 cos (x) = 63

Teile beide Seiten durch

92

\frac{92 cos ( x )}{92} = \frac{63}{92}

Vereinfache

cos (x) = \frac{63}{92}

cos (x) = \frac{63}{92}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{63}{92}

Allgemeine Lösung für

cos (x) = \frac{63}{92}

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

x = arccos (\frac{63}{92}) + 2 πn, x = 2 π - arccos (\frac{63}{92}) + 2 πn

x = arccos (\frac{63}{92}) + 2 πn, x = 2 π - arccos (\frac{63}{92}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.81649 \dots + 2 πn, x = 2 π - 0.81649 \dots + 2 πn

Graph

Beliebte Beispiele

2sin(3x)=0

2 sin (3 x) = 0

sin(x)=-cos(4x)

sin (x) = - cos (4 x)

cos(θ)= 2/(3sqrt(38))

cos (θ) = \frac{2}{3 38}

cos(2θ)= 20/29

cos (2 θ) = \frac{20}{29}

sin(x)=(sqrt(2))/4

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