cos(A+20)=sin(A-20)

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Solution for cos(A+20)=sin(A-20) equation: 


Simplifying
cos(A + 20) = sin(A + -20)

Reorder the terms:
cos(20 + A) = sin(A + -20)
(20 * cos + A * cos) = sin(A + -20)
(20cos + cosA) = sin(A + -20)

Reorder the terms:
20cos + cosA = ins(-20 + A)
20cos + cosA = (-20 * ins + A * ins)
20cos + cosA = (-20ins + insA)

Solving
20cos + cosA = -20ins + insA

Solving for variable 'c'.

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

Reorder the terms:
20cos + cosA + 20ins + -1insA = -20ins + 20ins + insA + -1insA

Combine like terms: -20ins + 20ins = 0
20cos + cosA + 20ins + -1insA = 0 + insA + -1insA
20cos + cosA + 20ins + -1insA = insA + -1insA

Combine like terms: insA + -1insA = 0
20cos + cosA + 20ins + -1insA = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(20co + coA + 20in + -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 '(20co + coA + 20in + -1inA)' equal to zero and attempt to solve:

Simplifying
20co + coA + 20in + -1inA = 0

Solving
20co + coA + 20in + -1inA = 0

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

Add '-20in' to each side of the equation.
20co + coA + 20in + -20in + -1inA = 0 + -20in

Combine like terms: 20in + -20in = 0
20co + coA + 0 + -1inA = 0 + -20in
20co + coA + -1inA = 0 + -20in
Remove the zero:
20co + coA + -1inA = -20in

Add 'inA' to each side of the equation.
20co + coA + -1inA + inA = -20in + inA

Combine like terms: -1inA + inA = 0
20co + coA + 0 = -20in + inA
20co + coA = -20in + 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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