sin(x)+cos(x+30)=0

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Solution for sin(x)+cos(x+30)=0 equation: 


Simplifying
sin(x) + cos(x + 30) = 0

Multiply ins * x
insx + cos(x + 30) = 0

Reorder the terms:
insx + cos(30 + x) = 0
insx + (30 * cos + x * cos) = 0
insx + (30cos + cosx) = 0

Reorder the terms:
30cos + cosx + insx = 0

Solving
30cos + cosx + insx = 0

Solving for variable 'c'.

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

Add '-1insx' to each side of the equation.
30cos + cosx + insx + -1insx = 0 + -1insx

Combine like terms: insx + -1insx = 0
30cos + cosx + 0 = 0 + -1insx
30cos + cosx = 0 + -1insx
Remove the zero:
30cos + cosx = -1insx

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

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

Simplifying
30co + cox + inx = 0

Solving
30co + cox + inx = 0

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

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

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

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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