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

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


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

Reorder the terms:
ins(-10 + x) = cos(4x)
(-10 * ins + x * ins) = cos(4x)
(-10ins + insx) = cos(4x)

Remove parenthesis around (4x)
-10ins + insx = cos * 4x

Reorder the terms for easier multiplication:
-10ins + insx = 4cos * x

Multiply cos * x
-10ins + insx = 4cosx

Solving
-10ins + insx = 4cosx

Solving for variable 'i'.

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

Reorder the terms:
-4cosx + -10ins + insx = 4cosx + -4cosx

Combine like terms: 4cosx + -4cosx = 0
-4cosx + -10ins + insx = 0

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


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

Simplifying
s = 0

Solving
s = 0

Move all terms containing i 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 '(-4cox + -10in + inx)' equal to zero and attempt to solve:

Simplifying
-4cox + -10in + inx = 0

Solving
-4cox + -10in + inx = 0

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

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

Reorder the terms:
-4cox + 4cox + -10in + inx = 0 + 4cox

Combine like terms: -4cox + 4cox = 0
0 + -10in + inx = 0 + 4cox
-10in + inx = 0 + 4cox
Remove the zero:
-10in + inx = 4cox

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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