cos^2a-cos^2b=sin(a+b)sin(a-b)

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Solution for cos^2a-cos^2b=sin(a+b)sin(a-b) equation: 


Simplifying
cos2a + -1cos2b = sin(a + b) * sin(a + -1b)

Reorder the terms for easier multiplication:
acos2 + -1bcos2 = ins * ins(a + b)(a + -1b)

Multiply ins * ins
acos2 + -1bcos2 = i2n2s2(a + b)(a + -1b)

Multiply (a + b) * (a + -1b)
acos2 + -1bcos2 = i2n2s2(a(a + -1b) + b(a + -1b))
acos2 + -1bcos2 = i2n2s2((a * a + -1b * a) + b(a + -1b))

Reorder the terms:
acos2 + -1bcos2 = i2n2s2((-1ab + a2) + b(a + -1b))
acos2 + -1bcos2 = i2n2s2((-1ab + a2) + b(a + -1b))
acos2 + -1bcos2 = i2n2s2(-1ab + a2 + (a * b + -1b * b))
acos2 + -1bcos2 = i2n2s2(-1ab + a2 + (ab + -1b2))

Reorder the terms:
acos2 + -1bcos2 = i2n2s2(-1ab + ab + a2 + -1b2)

Combine like terms: -1ab + ab = 0
acos2 + -1bcos2 = i2n2s2(0 + a2 + -1b2)
acos2 + -1bcos2 = i2n2s2(a2 + -1b2)
acos2 + -1bcos2 = (a2 * i2n2s2 + -1b2 * i2n2s2)
acos2 + -1bcos2 = (a2i2n2s2 + -1b2i2n2s2)

Solving
acos2 + -1bcos2 = a2i2n2s2 + -1b2i2n2s2

Solving for variable 'a'.

Reorder the terms:
acos2 + -1a2i2n2s2 + -1bcos2 + b2i2n2s2 = a2i2n2s2 + -1b2i2n2s2 + -1a2i2n2s2 + b2i2n2s2

Reorder the terms:
acos2 + -1a2i2n2s2 + -1bcos2 + b2i2n2s2 = a2i2n2s2 + -1a2i2n2s2 + -1b2i2n2s2 + b2i2n2s2

Combine like terms: a2i2n2s2 + -1a2i2n2s2 = 0
acos2 + -1a2i2n2s2 + -1bcos2 + b2i2n2s2 = 0 + -1b2i2n2s2 + b2i2n2s2
acos2 + -1a2i2n2s2 + -1bcos2 + b2i2n2s2 = -1b2i2n2s2 + b2i2n2s2

Combine like terms: -1b2i2n2s2 + b2i2n2s2 = 0
acos2 + -1a2i2n2s2 + -1bcos2 + b2i2n2s2 = 0

Factor out the Greatest Common Factor (GCF), 's2'.
s2(aco + -1a2i2n2 + -1bco + b2i2n2) = 0


Subproblem 1
Set the factor 's2' equal to zero and attempt to solve:

Simplifying
s2 = 0

Solving
s2 = 0

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

Add '-1s2' to each side of the equation.
s2 + -1s2 = 0 + -1s2
Remove the zero:
0 = -1s2

Simplifying
0 = -1s2

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 '(aco + -1a2i2n2 + -1bco + b2i2n2)' equal to zero and attempt to solve:

Simplifying
aco + -1a2i2n2 + -1bco + b2i2n2 = 0

Solving
aco + -1a2i2n2 + -1bco + b2i2n2 = 0

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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