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

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


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

Reorder the terms:
cos(30 + x) = sin(x + 30)
(30 * cos + x * cos) = sin(x + 30)
(30cos + cosx) = sin(x + 30)

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

Solving
30cos + cosx = 30ins + insx

Solving for variable 'c'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), 's'.
s(30co + cox + -30in + -1inx) = 0


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

Simplifying
s = 0

Solving
s = 0

Move all terms containing c 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 '(30co + cox + -30in + -1inx)' equal to zero and attempt to solve:

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

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

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

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

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

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

Combine like terms: -1inx + inx = 0
30co + cox + 0 = 30in + inx
30co + cox = 30in + inx

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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