sin(4x-10)=cos(x+60)

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Solution for sin(4x-10)=cos(x+60) equation: 


Simplifying
sin(4x + -10) = cos(x + 60)

Reorder the terms:
ins(-10 + 4x) = cos(x + 60)
(-10 * ins + 4x * ins) = cos(x + 60)
(-10ins + 4insx) = cos(x + 60)

Reorder the terms:
-10ins + 4insx = cos(60 + x)
-10ins + 4insx = (60 * cos + x * cos)
-10ins + 4insx = (60cos + cosx)

Solving
-10ins + 4insx = 60cos + cosx

Solving for variable 'i'.

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

Reorder the terms:
-60cos + -1cosx + -10ins + 4insx = 60cos + cosx + -60cos + -1cosx

Reorder the terms:
-60cos + -1cosx + -10ins + 4insx = 60cos + -60cos + cosx + -1cosx

Combine like terms: 60cos + -60cos = 0
-60cos + -1cosx + -10ins + 4insx = 0 + cosx + -1cosx
-60cos + -1cosx + -10ins + 4insx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-60cos + -1cosx + -10ins + 4insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-60co + -1cox + -10in + 4inx) = 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 '(-60co + -1cox + -10in + 4inx)' equal to zero and attempt to solve:

Simplifying
-60co + -1cox + -10in + 4inx = 0

Solving
-60co + -1cox + -10in + 4inx = 0

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

Add '60co' to each side of the equation.
-60co + -1cox + -10in + 60co + 4inx = 0 + 60co

Reorder the terms:
-60co + 60co + -1cox + -10in + 4inx = 0 + 60co

Combine like terms: -60co + 60co = 0
0 + -1cox + -10in + 4inx = 0 + 60co
-1cox + -10in + 4inx = 0 + 60co
Remove the zero:
-1cox + -10in + 4inx = 60co

Add 'cox' to each side of the equation.
-1cox + -10in + cox + 4inx = 60co + cox

Reorder the terms:
-1cox + cox + -10in + 4inx = 60co + cox

Combine like terms: -1cox + cox = 0
0 + -10in + 4inx = 60co + cox
-10in + 4inx = 60co + 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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