sin(x-30)=cos(x)

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Solution for sin(x-30)=cos(x) equation: 


Simplifying
sin(x + -30) = cos(x)

Reorder the terms:
ins(-30 + x) = cos(x)
(-30 * ins + x * ins) = cos(x)
(-30ins + insx) = cos(x)

Multiply cos * x
-30ins + insx = cosx

Solving
-30ins + insx = cosx

Solving for variable 'i'.

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

Reorder the terms:
-1cosx + -30ins + insx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1cosx + -30ins + insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-1cox + -30in + 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 '(-1cox + -30in + inx)' equal to zero and attempt to solve:

Simplifying
-1cox + -30in + inx = 0

Solving
-1cox + -30in + inx = 0

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

Add 'cox' to each side of the equation.
-1cox + -30in + cox + inx = 0 + cox

Reorder the terms:
-1cox + cox + -30in + inx = 0 + cox

Combine like terms: -1cox + cox = 0
0 + -30in + inx = 0 + cox
-30in + inx = 0 + cox
Remove the zero:
-30in + inx = 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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