Cos(x-10)=sin(4x)

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Solution for Cos(x-10)=sin(4x) equation: 


Simplifying
Cos(x + -10) = sin(4x)

Reorder the terms:
osC(-10 + x) = sin(4x)
(-10 * osC + x * osC) = sin(4x)
(-10osC + osxC) = sin(4x)

Remove parenthesis around (4x)
-10osC + osxC = ins * 4x

Reorder the terms for easier multiplication:
-10osC + osxC = 4ins * x

Multiply ins * x
-10osC + osxC = 4insx

Solving
-10osC + osxC = 4insx

Solving for variable 'o'.

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

Reorder the terms:
-4insx + -10osC + osxC = 4insx + -4insx

Combine like terms: 4insx + -4insx = 0
-4insx + -10osC + osxC = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-4inx + -10oC + oxC) = 0


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

Simplifying
s = 0

Solving
s = 0

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

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

Simplifying
0 = -1s

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 '(-4inx + -10oC + oxC)' equal to zero and attempt to solve:

Simplifying
-4inx + -10oC + oxC = 0

Solving
-4inx + -10oC + oxC = 0

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

Add '4inx' to each side of the equation.
-4inx + -10oC + 4inx + oxC = 0 + 4inx

Reorder the terms:
-4inx + 4inx + -10oC + oxC = 0 + 4inx

Combine like terms: -4inx + 4inx = 0
0 + -10oC + oxC = 0 + 4inx
-10oC + oxC = 0 + 4inx
Remove the zero:
-10oC + oxC = 4inx

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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