cos(A+30)=sin(A-30)

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Solution for cos(A+30)=sin(A-30) equation: 


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

Reorder the terms:
cos(30 + A) = sin(A + -30)
(30 * cos + A * cos) = sin(A + -30)
(30cos + cosA) = sin(A + -30)

Reorder the terms:
30cos + cosA = ins(-30 + A)
30cos + cosA = (-30 * ins + A * ins)
30cos + cosA = (-30ins + insA)

Solving
30cos + cosA = -30ins + insA

Solving for variable 'c'.

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

Reorder the terms:
30cos + cosA + 30ins + -1insA = -30ins + 30ins + insA + -1insA

Combine like terms: -30ins + 30ins = 0
30cos + cosA + 30ins + -1insA = 0 + insA + -1insA
30cos + cosA + 30ins + -1insA = insA + -1insA

Combine like terms: insA + -1insA = 0
30cos + cosA + 30ins + -1insA = 0

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

Simplifying
30co + coA + 30in + -1inA = 0

Solving
30co + coA + 30in + -1inA = 0

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

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

Combine like terms: 30in + -30in = 0
30co + coA + 0 + -1inA = 0 + -30in
30co + coA + -1inA = 0 + -30in
Remove the zero:
30co + coA + -1inA = -30in

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

Combine like terms: -1inA + inA = 0
30co + coA + 0 = -30in + inA
30co + coA = -30in + inA

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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