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

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


Simplifying
sin(t + -10x) = cos(10x + -1t)
(t * ins + -10x * ins) = cos(10x + -1t)
(inst + -10insx) = cos(10x + -1t)

Reorder the terms:
inst + -10insx = cos(-1t + 10x)
inst + -10insx = (-1t * cos + 10x * cos)
inst + -10insx = (-1cost + 10cosx)

Solving
inst + -10insx = -1cost + 10cosx

Solving for variable 'i'.

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

Reorder the terms:
cost + -10cosx + inst + -10insx = -1cost + 10cosx + cost + -10cosx

Reorder the terms:
cost + -10cosx + inst + -10insx = -1cost + cost + 10cosx + -10cosx

Combine like terms: -1cost + cost = 0
cost + -10cosx + inst + -10insx = 0 + 10cosx + -10cosx
cost + -10cosx + inst + -10insx = 10cosx + -10cosx

Combine like terms: 10cosx + -10cosx = 0
cost + -10cosx + inst + -10insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(cot + -10cox + int + -10inx) = 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 '(cot + -10cox + int + -10inx)' equal to zero and attempt to solve:

Simplifying
cot + -10cox + int + -10inx = 0

Solving
cot + -10cox + int + -10inx = 0

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

Add '-1cot' to each side of the equation.
cot + -10cox + int + -1cot + -10inx = 0 + -1cot

Reorder the terms:
cot + -1cot + -10cox + int + -10inx = 0 + -1cot

Combine like terms: cot + -1cot = 0
0 + -10cox + int + -10inx = 0 + -1cot
-10cox + int + -10inx = 0 + -1cot
Remove the zero:
-10cox + int + -10inx = -1cot

Add '10cox' to each side of the equation.
-10cox + int + 10cox + -10inx = -1cot + 10cox

Reorder the terms:
-10cox + 10cox + int + -10inx = -1cot + 10cox

Combine like terms: -10cox + 10cox = 0
0 + int + -10inx = -1cot + 10cox
int + -10inx = -1cot + 10cox

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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