cos(3x+30)=sin(7a-50)

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Solution for cos(3x+30)=sin(7a-50) equation: 


Simplifying
cos(3x + 30) = sin(7a + -50)

Reorder the terms:
cos(30 + 3x) = sin(7a + -50)
(30 * cos + 3x * cos) = sin(7a + -50)
(30cos + 3cosx) = sin(7a + -50)

Reorder the terms:
30cos + 3cosx = ins(-50 + 7a)
30cos + 3cosx = (-50 * ins + 7a * ins)

Reorder the terms:
30cos + 3cosx = (7ains + -50ins)
30cos + 3cosx = (7ains + -50ins)

Solving
30cos + 3cosx = 7ains + -50ins

Solving for variable 'c'.

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

Reorder the terms:
-7ains + 30cos + 3cosx + 50ins = 7ains + -50ins + -7ains + 50ins

Reorder the terms:
-7ains + 30cos + 3cosx + 50ins = 7ains + -7ains + -50ins + 50ins

Combine like terms: 7ains + -7ains = 0
-7ains + 30cos + 3cosx + 50ins = 0 + -50ins + 50ins
-7ains + 30cos + 3cosx + 50ins = -50ins + 50ins

Combine like terms: -50ins + 50ins = 0
-7ains + 30cos + 3cosx + 50ins = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-7ain + 30co + 3cox + 50in) = 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 '(-7ain + 30co + 3cox + 50in)' equal to zero and attempt to solve:

Simplifying
-7ain + 30co + 3cox + 50in = 0

Solving
-7ain + 30co + 3cox + 50in = 0

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

Add '7ain' to each side of the equation.
-7ain + 30co + 3cox + 7ain + 50in = 0 + 7ain

Reorder the terms:
-7ain + 7ain + 30co + 3cox + 50in = 0 + 7ain

Combine like terms: -7ain + 7ain = 0
0 + 30co + 3cox + 50in = 0 + 7ain
30co + 3cox + 50in = 0 + 7ain
Remove the zero:
30co + 3cox + 50in = 7ain

Add '-50in' to each side of the equation.
30co + 3cox + 50in + -50in = 7ain + -50in

Combine like terms: 50in + -50in = 0
30co + 3cox + 0 = 7ain + -50in
30co + 3cox = 7ain + -50in

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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