9.2cos(x)=6.3

Solution

9.2 cos (x) = 6.3

Solution

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

Degrés

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

étapes des solutions

9.2 cos (x) = 6.3

Multiplier les deux côtés par

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

Redéfinir

92 cos (x) = 63

92 cos (x) = 63

Diviser les deux côtés par

92

92 cos (x) = 63

Diviser les deux côtés par

92

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

Simplifier

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

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

Appliquer les propriétés trigonométriques inverses

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

Solutions générales pour

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

Montrer les solutions sous la forme décimale

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

Graphe

Exemples populaires

2sin(3x)=0

sin(x)=-cos(4x)

cos(θ)= 2/(3sqrt(38))

cos(2θ)= 20/29

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