What is the general solution for 9.2cos(x)=6.3 ?

The general solution for 9.2cos(x)=6.3 is x=0.81649…+2pin,x=2pi-0.81649…+2pin

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Popular >

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

Degrees

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

Solution steps

9.2 cos (x) = 6.3

Multiply both sides by

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

Refine

92 cos (x) = 63

92 cos (x) = 63

Divide both sides by

92

92 cos (x) = 63

Divide both sides by

92

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

Simplify

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

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

Apply trig inverse properties

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

General solutions for

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

Show solutions in decimal form

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

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Frequently Asked Questions (FAQ)

What is the general solution for 9.2cos(x)=6.3 ?
The general solution for 9.2cos(x)=6.3 is x=0.81649…+2pin,x=2pi-0.81649…+2pin