Acosx+Bcosy=Ccosz

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Solution for Acosx+Bcosy=Ccosz equation: 


Simplifying
Acosx + Bcosy = Ccosz

Solving
cosxA + cosyB = coszC

Solving for variable 'c'.

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

Add '-1coszC' to each side of the equation.
cosxA + cosyB + -1coszC = coszC + -1coszC

Combine like terms: coszC + -1coszC = 0
cosxA + cosyB + -1coszC = 0

Factor out the Greatest Common Factor (GCF), 'cos'.
cos(xA + yB + -1zC) = 0


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

Simplifying
cos = 0

Solving
cos = 0

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

Simplifying
cos = 0

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 '(xA + yB + -1zC)' equal to zero and attempt to solve:

Simplifying
xA + yB + -1zC = 0

Solving
xA + yB + -1zC = 0

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

Add '-1xA' to each side of the equation.
xA + yB + -1xA + -1zC = 0 + -1xA

Reorder the terms:
xA + -1xA + yB + -1zC = 0 + -1xA

Combine like terms: xA + -1xA = 0
0 + yB + -1zC = 0 + -1xA
yB + -1zC = 0 + -1xA
Remove the zero:
yB + -1zC = -1xA

Add '-1yB' to each side of the equation.
yB + -1yB + -1zC = -1xA + -1yB

Combine like terms: yB + -1yB = 0
0 + -1zC = -1xA + -1yB
-1zC = -1xA + -1yB

Add 'zC' to each side of the equation.
-1zC + zC = -1xA + -1yB + zC

Combine like terms: -1zC + zC = 0
0 = -1xA + -1yB + zC

Simplifying
0 = -1xA + -1yB + zC

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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