9cosx+10sinx=Ccos(x)

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Solution for 9cosx+10sinx=Ccos(x) equation: 


Simplifying
9cosx + 10sinx = Ccos(x)

Multiply cosC * x
9cosx + 10insx = cosxC

Solving
9cosx + 10insx = cosxC

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-1cosxC' to each side of the equation.
9cosx + -1cosxC + 10insx = cosxC + -1cosxC

Combine like terms: cosxC + -1cosxC = 0
9cosx + -1cosxC + 10insx = 0

Add '-10insx' to each side of the equation.
9cosx + -1cosxC + 10insx + -10insx = 0 + -10insx

Combine like terms: 10insx + -10insx = 0
9cosx + -1cosxC + 0 = 0 + -10insx
9cosx + -1cosxC = 0 + -10insx
Remove the zero:
9cosx + -1cosxC = -10insx

Combine like terms: -10insx + 10insx = 0
9cosx + -1cosxC + 10insx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(9co + -1coC + 10in) = 0


Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve:

Simplifying
sx = 0

Solving
sx = 0

Move all terms containing c to the left, all other terms to the right.

Add '-1sx' to each side of the equation.
sx + -1sx = 0 + -1sx
Remove the zero:
0 = -1sx

Simplifying
0 = -1sx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(9co + -1coC + 10in)' equal to zero and attempt to solve:

Simplifying
9co + -1coC + 10in = 0

Solving
9co + -1coC + 10in = 0

Move all terms containing c to the left, all other terms to the right.

Add '-10in' to each side of the equation.
9co + -1coC + 10in + -10in = 0 + -10in

Combine like terms: 10in + -10in = 0
9co + -1coC + 0 = 0 + -10in
9co + -1coC = 0 + -10in
Remove the zero:
9co + -1coC = -10in

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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