sin(7x-3)=cos(x)

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Solution for sin(7x-3)=cos(x) equation: 


Simplifying
sin(7x + -3) = cos(x)

Reorder the terms:
ins(-3 + 7x) = cos(x)
(-3 * ins + 7x * ins) = cos(x)
(-3ins + 7insx) = cos(x)

Multiply cos * x
-3ins + 7insx = cosx

Solving
-3ins + 7insx = cosx

Solving for variable 'i'.

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

Reorder the terms:
-1cosx + -3ins + 7insx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1cosx + -3ins + 7insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-1cox + -3in + 7inx) = 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 '(-1cox + -3in + 7inx)' equal to zero and attempt to solve:

Simplifying
-1cox + -3in + 7inx = 0

Solving
-1cox + -3in + 7inx = 0

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

Add 'cox' to each side of the equation.
-1cox + -3in + cox + 7inx = 0 + cox

Reorder the terms:
-1cox + cox + -3in + 7inx = 0 + cox

Combine like terms: -1cox + cox = 0
0 + -3in + 7inx = 0 + cox
-3in + 7inx = 0 + cox
Remove the zero:
-3in + 7inx = cox

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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